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   "source": [
    "# Building Conductance-based Neuron Models\n",
    "\n",
    "[![Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/brainpy/brainpy/blob/master/docs_version2/tutorial_building/build_conductance_neurons_v2.ipynb)\n",
    "[![Open in Kaggle](https://kaggle.com/static/images/open-in-kaggle.svg)](https://kaggle.com/kernels/welcome?src=https://github.com/brainpy/brainpy/blob/master/docs_version2/tutorial_building/build_conductance_neurons_v2.ipynb)\n",
    "\n",
    "@[Xiaoyu Chen](mailto:c-xy17@tsinghua.org.cn) @chaoming0625\n",
    "\n",
    "\n",
    "In this section, we try to understand how to build conductance-based biophysical neuron models.  \n"
   ]
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   },
   "source": [
    "import numpy as np\n",
    "\n",
    "import brainpy as bp\n",
    "import brainpy.math as bm"
   ],
   "outputs": [],
   "execution_count": 1
  },
  {
   "cell_type": "markdown",
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   "source": [
    "There are basically two types of neuron models: **conductance-based models** and **simplified models**. In conductance-based models, a single neuron can be regarded as a electric circuit, where the membrane is a capacitor, ion channels are conductors, and ion gradients are batteries. The neuronal activity is captured by the current flows through those ion channels. Sometimes there is an external input to this neuron, which can also be included in the equivalent circuit (see the figure below which shows potassium channels, sodium channels and leaky channels).\n",
    "\n",
    "<img src=\"../_static/conductance_model_diagram.png\" width=\"400 px\">\n",
    "\n"
   ]
  },
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   "source": [
    "On the other hand, simplified models do not care about the physiological features of neurons but mainly focus on how to reproduce the exact spike timing. Therefore, they are more simplified and maybe not biologically explicable.\n",
    "\n",
    "BrainPy provides a large volume of predefined neuron models including conductance-based and simplified models for ease of use. In this section, we will only talk about how to build conductance-based models by ion channels. Users please refer to [Customizing Your Neuron Models](customize_neuron_models.ipynb) for more information."
   ]
  },
  {
   "cell_type": "markdown",
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   "source": [
    "## ``master_type`` organizes structures between neurons and ion channels "
   ]
  },
  {
   "cell_type": "markdown",
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   },
   "source": [
    "When defining a conductance neuron model, one additional thing need to be pay attention to is ``master_type``. "
   ]
  },
  {
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   "source": [
    "``master_type`` determines what information will be passed into ``.reset_state()`` and ``update()`` function in a model."
   ]
  },
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   "source": [
    "class IK(bp.dyn.IonChannel):\n",
    "    master_type = bp.dyn.CondNeuGroup\n",
    "\n",
    "    def update(self, V, *args, **kwargs):\n",
    "        pass\n",
    "\n",
    "    def reset_state(self, V, *args, **kwargs):\n",
    "        pass"
   ],
   "outputs": [],
   "execution_count": 2
  },
  {
   "cell_type": "markdown",
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   "source": [
    "For the above ``IK`` model, its ``master_type: bp.dyn.CondNeuGroup`` will give ``V`` variable into this node. Therefore, ``IK`` model can utilize ``V`` to update or reset its states. "
   ]
  },
  {
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   "source": [
    "class ICa(bp.dyn.IonChannel):\n",
    "    master_type = bp.dyn.Calcium\n",
    "\n",
    "    def update(self, V, C, E, *args, **kwargs):\n",
    "        pass\n",
    "\n",
    "    def reset_state(self, V, C, E, *args, **kwargs):\n",
    "        pass"
   ],
   "outputs": [],
   "execution_count": 3
  },
  {
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   "source": [
    "For ``ICa`` class, its ``master_type (bp.dyn.Calcium)`` will deliver the concentration of Calcium ``C`` and the reversal potential of Calcium ion ``E`` into this node. Moreover, since the ``master_type`` of ``bp.dyn.Calcium`` is ``bp.dyn.CondNeuGroup``, it will inherit the passing of ``bp.dyn.CondNeuGroup`` and deliver ``V`` into ``ICa`` class too. "
   ]
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   "source": [
    "class ICaNa(bp.dyn.IonChannel):\n",
    "    master_type = bp.mixin.JointType[bp.dyn.Calcium, bp.dyn.Sodium]\n",
    "\n",
    "    def update(self, V, Ca_info, Na_info, *args, **kwargs):\n",
    "        pass\n",
    "\n",
    "    def reset_state(self, V, Ca_info, Na_info, *args, **kwargs):\n",
    "        pass"
   ],
   "outputs": [],
   "execution_count": 4
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "4147B3FC5B0A43D4B419827E3C79443A",
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   "source": [
    "If an ion channel depends on more than two ion types, it can define ``master_type`` as a joint type by using ``brainpy.mixin.JointType``. For example, the above ``ICaNa`` class depends on ``bp.dyn.Calcium`` and ``bp.dyn.Sodium``, so the ``update()`` and ``reset_state()`` function depends on information of both subclasses and their parents. "
   ]
  },
  {
   "cell_type": "markdown",
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   "source": [
    "For an existing ion channel, users can check the ``master_type`` using:"
   ]
  },
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     "start_time": "2025-10-06T03:45:17.496133Z"
    }
   },
   "source": [
    "bp.dyn.INa_Ba2002v2.master_type"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "brainpy.dyn.ions.sodium.Sodium"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 5
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   "source": [
    "bp.dyn.INa_Ba2002.master_type"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "brainpy.dyn.neurons.hh.HHTypedNeuron"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 6
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "F322DE431E574DE3AA842923B5D973C2",
    "notebookId": "654731a4b4c12f15a7a5fc1f",
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   },
   "source": [
    "## Build a HH model by composing existing ion channels"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "C54B6D88EBFD4F13855F3A286A5B32E6",
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   "source": [
    "Instead of building a conductance-based model from scratch, we can utilize ion channel models as building blocks to assemble a neuron model in a modular and convenient way. Now let's try to construct a **Hodgkin-Huxley (HH) model** (jump to [here](customize_neuron_models.ipynb) for the complete mathematical expression of the HH model).\n",
    "\n",
    "\n",
    "The HH neuron models the current flows of potassium, sodium, and leaky channels. We can import the other channel models from ``brainpy.dyn.ions`` and ``brainpy.dyn.channels`` modules. Then we wrap these three channels into a single neuron model:\n",
    "\n",
    "Here is an example by building a HH neuron model by composing existing ion channels. "
   ]
  },
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   "source": [
    "class HH(bp.dyn.CondNeuGroupLTC):\n",
    "    def __init__(self, size):\n",
    "        super().__init__(size)\n",
    "\n",
    "        self.INa = bp.dyn.INa_HH1952(size)\n",
    "        self.IK = bp.dyn.IK_HH1952(size)\n",
    "        self.IL = bp.dyn.IL(size, E=-54.387, g_max=0.03)"
   ],
   "outputs": [],
   "execution_count": 7
  },
  {
   "cell_type": "markdown",
   "metadata": {
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   },
   "source": [
    "Here the `HH` class should inherit the superclass **`brainpy.dyn.CondNeuGroup`**, which will automatically integrate the current flows by calling the `current()` function of each channel model to compute the neuronal activity when running a simulation.\n",
    "\n",
    "Surprisingly, the model construction is finished! Users do not need to implement the update function of the neuron model as `brainpy.dyn.CondNeuGroupLTC` has its own way to update variables (like the membrane potential `V` and spiking sequence `spike`) implicitly.\n",
    "\n",
    "Now let's run a simulation of this HH model to examine the changes of the inner variables.\n"
   ]
  },
  {
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     "start_time": "2025-10-06T03:45:17.586065Z"
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   },
   "source": [
    "hh = HH(1)\n",
    "\n",
    "runner = bp.DSRunner(hh, monitors={'na-p': hh.INa.p, 'na-q': hh.INa.q, 'k-p': hh.IK.p, 'v': hh.V})\n",
    "\n",
    "inputs = np.ones(1000) * 4.\n",
    "_ = runner.run(inputs=inputs)\n"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "  0%|          | 0/1000 [00:00<?, ?it/s]"
      ],
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     "metadata": {},
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      "display_id": null
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   "execution_count": 8
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   },
   "source": [
    "bp.visualize.line_plot(runner.mon.ts, runner.mon['na-p'], legend='Na-p')\n",
    "bp.visualize.line_plot(runner.mon.ts, runner.mon['na-q'], legend='Na-q')\n",
    "bp.visualize.line_plot(runner.mon.ts, runner.mon['k-p'], legend='K-p', show=True)"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<module 'matplotlib.pyplot' from 'C:\\\\Users\\\\adadu\\\\miniconda3\\\\envs\\\\bdp\\\\Lib\\\\site-packages\\\\matplotlib\\\\pyplot.py'>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 9
  },
  {
   "cell_type": "code",
   "metadata": {
    "collapsed": false,
    "id": "295C0E829D87444B90898633AD1EA4D4",
    "notebookId": "654731a4b4c12f15a7a5fc1f",
    "scrolled": false,
    "slideshow": {
     "slide_type": "slide"
    },
    "tags": [],
    "trusted": true,
    "ExecuteTime": {
     "end_time": "2025-10-06T03:45:18.370209Z",
     "start_time": "2025-10-06T03:45:18.311775Z"
    }
   },
   "source": [
    "bp.visualize.line_plot(runner.mon.ts, runner.mon['v'], show=True)"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<module 'matplotlib.pyplot' from 'C:\\\\Users\\\\adadu\\\\miniconda3\\\\envs\\\\bdp\\\\Lib\\\\site-packages\\\\matplotlib\\\\pyplot.py'>"
      ]
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     "execution_count": 10,
     "metadata": {},
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    }
   ],
   "execution_count": 10
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   "source": [
    "## Customizing ion channels"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
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    "notebookId": "654731a4b4c12f15a7a5fc1f",
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   "source": [
    "To customize an ion channel that can be composed using the above interface, users should define a normal ``DynamicalSystem`` with the specification of ``master_type``.  Below we will show several examples. "
   ]
  },
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   "source": [
    "As we have known, ion channels are crucial for conductance-based neuron models. So how do we model an ion channel? Let's take a look at the potassium channel for instance.\n",
    "\n",
    "<img src=\"../_static/potassium_channel_equivalent_circuit.png\" width=\"500 px\">\n",
    "\n",
    "The diagram above shows how a potassium channel is changed to an electric circuit. By this, we have the differential equation:\n",
    "\n",
    "$$\n",
    "\\begin{align}\n",
    "c_\\mathrm{M} \\frac{\\mathrm{d}V_\\mathrm{M}}{\\mathrm{d}t} &= \\frac{E_\\mathrm{K} - V_\\mathrm{M}}{R_\\mathrm{K}} \\\\\n",
    "&= g_\\mathrm{K}(E_\\mathrm{K} - V_\\mathrm{M}),\n",
    "\\end{align}\n",
    "$$\n",
    "\n",
    "in which $c_\\mathrm{M}$ is the membrane capacitance, $\\mathrm{d}V_\\mathrm{M}$ is the membrane potential, $E_\\mathrm{K}$ is the equilibrium potential of potassium ions, and $R_\\mathrm{K}$ ($g_\\mathrm{K}$) refers to the resistance (conductance) of the potassium channel. We define currents from inside to outside as the positive direction.\n",
    "\n",
    "In the equation above, the conductance of potassium channels $g_\\mathrm{K}$ does not remain a constant, but changes according to the membrane potential, by which the channel is categorized as **voltage-gated ion channels**. If we want to build an ion channel model, we should figure out how the conductance of the ion channel changes with membrane potential.\n",
    "\n",
    "Fortunately, there has been a lot of work addressing this issue to formulate analytical expressions. For example, the conductance of one typical potassium channel can be written as:\n",
    "\n",
    "$$\n",
    "\\begin{align}\n",
    "g_\\mathrm{K} &= \\bar{g}_\\mathrm{K} n^4, \\\\\n",
    "\\frac{\\mathrm{d}n}{\\mathrm{d}t} &= \\phi [\\alpha_n(V)(1-n) - \\beta_n(V)n],\n",
    "\\end{align}\n",
    "$$\n",
    "\n",
    "in which $\\bar{g}_\\mathrm{K}$ refers to the maximal conductance and $n$, also named the gating variable, refers to the probability (proportion) of potassium channels to open. $\\phi$ is a parameter showing the effects of temperature. In the differential equation of $n$, there are two parameters, $\\alpha_n(V)$ and $\\beta_n(V)$, that change with membrane potential:\n",
    "\n",
    "$$\n",
    "\\begin{align}\n",
    "\\alpha_n(V) &= \\frac{0.01(V+55)}{1 - \\exp(-\\frac{V+55}{10})}, \\\\\n",
    "\\beta_n(V) &= 0.125 \\exp\\left(-\\frac{V+65}{80}\\right).\n",
    "\\end{align}\n",
    "$$"
   ]
  },
  {
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   "source": [
    "Now we have learned the mathematical expression of the potassium channel. Next, we try to build this channel in BrainPy."
   ]
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   "source": [
    "class IK(bp.dyn.IonChannel):\n",
    "    master_type = bp.dyn.HHTypedNeuron\n",
    "\n",
    "    def __init__(self, size, E=-77., g_max=36., phi=1., method='exp_auto'):\n",
    "        super().__init__(size)\n",
    "        self.g_max = g_max\n",
    "        self.E = E\n",
    "        self.phi = phi\n",
    "\n",
    "        self.integral = bp.odeint(self.dn, method=method)\n",
    "\n",
    "    def dn(self, n, t, V):\n",
    "        alpha_n = 0.01 * (V + 55) / (1 - bm.exp(-(V + 55) / 10))\n",
    "        beta_n = 0.125 * bm.exp(-(V + 65) / 80)\n",
    "        return self.phi * (alpha_n * (1. - n) - beta_n * n)\n",
    "\n",
    "    def reset_state(self, V, batch_or_mode=None, **kwargs):\n",
    "        self.n = bp.init.variable_(bm.zeros, self.num, batch_or_mode)\n",
    "\n",
    "    def update(self, V):\n",
    "        t = bp.share.load('t')\n",
    "        dt = bp.share.load('dt')\n",
    "        self.n.value = self.integral(self.n, t, V, dt=dt)\n",
    "\n",
    "    def current(self, V):\n",
    "        return self.g_max * self.n ** 4 * (self.E - V)"
   ],
   "outputs": [],
   "execution_count": 11
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "Note that besides the initialzation and update function, **another function named ``current()`` that computes the current flow through this channel must be implemented**. Then this potassium channel model can be used as a building block for assembling a conductance-based neuron model."
   ]
  },
  {
   "cell_type": "markdown",
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   "source": [
    "For a sodium ion channel,  \n",
    "\n",
    "$$  \n",
    "\\begin{split}\\begin{split}  \n",
    "\\begin{aligned}  \n",
    "   I_{\\mathrm{Na}} &= g_{\\mathrm{max}} m^3 h \\\\  \n",
    "   \\frac {dm} {dt} &= \\phi (\\alpha_m (1-x)  - \\beta_m) \\\\  \n",
    "   &\\alpha_m(V) = \\frac {0.1(V-V_{sh}-5)}{1-\\exp(\\frac{-(V -V_{sh} -5)} {10})}  \\\\  \n",
    "   &\\beta_m(V) = 4.0 \\exp(\\frac{-(V -V_{sh}+ 20)} {18})  \\\\  \n",
    "   \\frac {dh} {dt} &= \\phi (\\alpha_h (1-x)  - \\beta_h) \\\\  \n",
    "   &\\alpha_h(V) = 0.07 \\exp(\\frac{-(V-V_{sh}+20)}{20})  \\\\  \n",
    "   &\\beta_h(V) = \\frac 1 {1 + \\exp(\\frac{-(V -V_{sh}-10)} {10})} \\\\  \n",
    "\\end{aligned}  \n",
    "\\end{split}\\end{split}  \n",
    "$$  \n",
    "\n",
    "where $V_{sh}$ is the membrane shift (default -45 mV), and $\\phi$  is the temperature-dependent factor (default 1.)."
   ]
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   "source": [
    "class INa(bp.dyn.IonChannel):\n",
    "    master_type = bp.dyn.HHTypedNeuron\n",
    "\n",
    "    def __init__(self, size, E=50., g_max=120., phi=1., method='exp_auto'):\n",
    "        super(INa, self).__init__(size)\n",
    "        self.g_max = g_max\n",
    "        self.E = E\n",
    "        self.phi = phi\n",
    "        self.integral = bp.odeint(bp.JointEq(self.dm, self.dh), method=method)\n",
    "\n",
    "    def dm(self, m, t, V):\n",
    "        alpha_m = 0.11 * (V + 40) / (1 - bm.exp(-(V + 40) / 10))\n",
    "        beta_m = 4 * bm.exp(-(V + 65) / 18)\n",
    "        return self.phi * (alpha_m * (1. - m) - beta_m * m)\n",
    "\n",
    "    def dh(self, h, t, V):\n",
    "        alpha_h = 0.07 * bm.exp(-(V + 65) / 20)\n",
    "        beta_h = 1. / (1 + bm.exp(-(V + 35) / 10))\n",
    "        return self.phi * (alpha_h * (1. - h) - beta_h * h)\n",
    "\n",
    "    def reset_state(self, V, batch_or_mode=None, **kwargs):\n",
    "        self.m = bp.init.variable_(bm.zeros, self.num, batch_or_mode)\n",
    "        self.h = bp.init.variable_(bm.zeros, self.num, batch_or_mode)\n",
    "\n",
    "    def update(self, V):\n",
    "        t = bp.share.load('t')\n",
    "        dt = bp.share.load('dt')\n",
    "        self.m.value, self.h.value = self.integral(self.m, self.h, t, V, dt=dt)\n",
    "\n",
    "    def current(self, V):\n",
    "        return self.g_max * self.m ** 3 * self.h * (self.E - V)"
   ],
   "outputs": [],
   "execution_count": 12
  },
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   "source": [
    "The leakage channel current."
   ]
  },
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   "source": [
    "class IL(bp.dyn.IonChannel):\n",
    "    master_type = bp.dyn.HHTypedNeuron\n",
    "\n",
    "    def __init__(self, size, E=-54.39, g_max=0.03):\n",
    "        super(IL, self).__init__(size)\n",
    "        self.g_max = g_max\n",
    "        self.E = E\n",
    "\n",
    "    def reset_state(self, *args, **kwargs):\n",
    "        pass\n",
    "\n",
    "    def update(self, V):\n",
    "        pass\n",
    "\n",
    "    def current(self, V):\n",
    "        return self.g_max * (self.E - V)"
   ],
   "outputs": [],
   "execution_count": 13
  },
  {
   "cell_type": "markdown",
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   "source": [
    "We can compose a HH model by using three channels we defined in the above. "
   ]
  },
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   "source": [
    "class HH(bp.dyn.CondNeuGroup):\n",
    "    def __init__(self, size):\n",
    "        super().__init__(size, V_initializer=bp.init.Uniform(-80, -60.))\n",
    "        self.IK = IK(size, E=-77., g_max=36.)\n",
    "        self.INa = INa(size, E=50., g_max=120.)\n",
    "        self.IL = IL(size, E=-54.39, g_max=0.03)"
   ],
   "outputs": [],
   "execution_count": 14
  },
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   },
   "source": [
    "neu = HH(1)\n",
    "neu.reset()\n",
    "\n",
    "inputs = np.ones(int(200 / bm.dt)) * 1.698  # 200 ms\n",
    "runner = bp.DSRunner(neu, monitors=['V', 'IK.n', 'INa.m', 'INa.h'])\n",
    "runner.run(inputs=inputs)  # the running time is 200 ms\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "plt.plot(runner.mon['ts'], runner.mon['V'])\n",
    "plt.xlabel('t (ms)')\n",
    "plt.ylabel('V (mV)')\n",
    "plt.show()\n",
    "\n",
    "plt.figure(figsize=(6, 2))\n",
    "plt.plot(runner.mon['ts'], runner.mon['IK.n'], label='n')\n",
    "plt.plot(runner.mon['ts'], runner.mon['INa.m'], label='m')\n",
    "plt.plot(runner.mon['ts'], runner.mon['INa.h'], label='h')\n",
    "plt.xlabel('t (ms)')\n",
    "plt.legend()\n",
    "\n",
    "plt.show()"
   ],
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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 600x200 with 1 Axes>"
      ],
      "image/png": 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EkSaaV+F+8X53bkoUclSFUQT3Y0w0hBPeuyf4EYQntF6HaUVVvN9v9abyjEaOboOqurWjyWPkn1wWhSXBW4k/xdg4I8/YdBr+HiNVNEQlR1UYqXNO5HGMiYaugvtksijzNHgbG0mKzgHs8lu9ReNE3CpOHLnu0E6jles+CsMT/uIvGlfh/hzdyZ5RdK+2xTECFyox0RBWeIUn3MWdokw0/BiMjd/KRnar/ijkqPkxcBT3qqzeq65oqkXhOx7laNw94c8xKhcqvgJX1kSu+IuJhnAi0O6Jk/A0zJkzh9tuu4077riD1NRUsrKyWLJkCU1NTVx99dUkJiYyZMgQvvjii5NrdyjwUsTbjtbS6FBuoShV/f9cV0hxrTAycgQO4E7DayL+aOsxdpaK1bfTHoX9KGlYsaecbw+Lo7/ttigKT3jdqxuPVLPyYC0AVms0eVM8In7X8To+3lEJQEtLNHH0jMeCikbe2lwGQFNzlOyeWLx4Mfn5+ZhMJqZPn87GjRvbvHbOnDlIktTq57zzznNfc9VVV7V6fcGCBZ1pWnCQZVGbPdw/9hblp1ls67K3gNXvmhA9D0uXLiUjI4ONGzdy2223cfPNN3PJJZcwa9Ystm7dyrx58/j1r39Nc3fdXIrr3uaSuOHNzTQ5xS1UVlPfPd/fHVAMaqNN5rEv9mGRxXa2bYUVPdmq8EKZpGyyxF8+30uLwnHTobKebFV4odyrLjQ8/N/dWFziXt1YEH0ckQTHOnsUcvQSRo9+sdfNcUs03ateXrGnv9pPtbI+icQ5J+RTLt9//30WLlzIyy+/zPTp03nuueeYP38++/fvJzMzs9X1H330ETabZ/VSVVXF+PHjueSSS3yuW7BgAa+//rr7b6OxC09oszfDX3K77vPbwx9KfA+W6QDjx4/nvvvuA2DRokU89thjZGRkcP311wPwwAMP8Le//Y0dO3YwY8aMLmmyDxTX7ubiOioarNgMepDg693HuHz4tK7//u6AMkltLq6jyebEbhDDZO2BMiae3pMNCyMUYbSvrInKRht2vXD9bjlcQTfcRd0DZSIuqrVwtLoFm170467iSmb3ZLvCCWU8VjY72HW8HptOhJn2H6vk1J5sVzihCKNmu8zaQ1WcphX9eLi8mlkuGY2mk8cIRxKU8eiQJVbuq2CgIuJLq+qw2J2YlPEZCQjZ0/DMM89w/fXXc/XVVzNq1Chefvll4uLieO211wJen5aWRnZ2tvtnxYoVxMXFtRINRqPR57rU1NTOMYoyjBs3zv27VqslPT2dsWPHup/LysoCoKKimxSpYlB3lDQCYJfUifhE93x/V0OW3cZme4nwnmj0QsAeLq1CjpYcFaUfd5WKcsMGo0gSPFpZi90ZJTt+FI67lXvVbBK7JyrqGqi3RF6CWaegcCxUlqZms+DY3NLE0erIc213CgrHohoLsgxGo+DoslvZWxYlHk5lzilrsGNzuNAaxHjUyHZ2Hq/ryZa1QkieBpvNxpYtW1i0aJH7OY1Gw9y5c1m3bl1Qn/GPf/yDyy67jPh439X2qlWryMzMJDU1lTPPPJM//elPpKenB/wMq9WK1eqJL9fXh3jj6OPEij+ckF1QtlP8njUaGsugqQoSsiAx2/e7Q4Ber/f5W5Ikn+ckJXfC1V3H/SqKeHeZMDYJcfHQAscrayNOEXcKXltkD5SLmGlaYgLUQotFrFj7p4fWhxEJ5X45VNUCaMlIToAqkJw29pU2MLZfcs+2LxxQ+rK41oKbYyXoZQc7jtZxytCMnm1fOODyGFSAtOQkqAQDDrYW15CXFgX3qtqPCsf0lESoAgN2thTVMDo3Cu5VpR9L6oRd65Ms5hwDDjYVVjM1P60HG+eLkDwNlZWVOJ1O9+pWRVZWFmVlHceXNm7cyK5du7juuut8nl+wYAFvvvkmK1eu5PHHH2f16tWcc845OJ3OgJ/z6KOPkpyc7P7Jy8sLhYZIUjTEh/dHHy/2gevNYEgAfYLyt8n3OqmXu9IU1X+8VoSc4sxCEUsuOzuORZYi7hS8RENxrRjAJpPgqE7EUQGlH4/W+q5Q9Tj44WiUcFQm4tI6ca/6cIyyfixvEJ6TpASxGDNiZ09plKzClX6sbBKhmCRlwWmUHOyNFo5KP1a3iEe1Hw3Y2VZc21OtCoiQcxpOBv/4xz8YO3Ys06b5xr4vu+wy9+9jx45l3LhxDB48mFWrVnHWWWe1+pxFixaxcOFC99/19fWhC4eww89tHY0VIb28GcfrrYAeveIqNOJgX1k90wZGjiLuFFweoXq0xgKYManGRnKwv7yhhxoWZig8Bcc44sxiRarHwb6yKOGoCMDjdVbATLxXP+4uiRJjo4zJikYhGhLiRT8acLAnWjjKvqIh3s3Rzp7S6LpXq5oFx0S3aHBwsKKxx5oVCCF5GjIyMtBqtZSXl/s8X15eTnZ2dhvvEmhqauK9997j2muv7fB7Bg0aREZGBgUFBQFfNxqNJCUl+fz0PPy3W0ahaJA9BrXFISFJoDeIeL8eBwfLI+vm7hS8OFpdElqNhNHo8TREBUdwT1J1FvGorsINOCmIMo7HFZdvQpyHY9SIP9XT0KgYm3jPCjV6VuGiHyub/Tk62F9Wj9MVBXOsIuKrmsVjckICIPqxqKoJiz2w170nEJKnwWAwMHnyZFauXMmFF14IiFj6ypUrufXWW9t97wcffIDVauVXv/pVh99z7NgxqqqqyMnJCaV5PQuf+1YKS52GVatWtXqusLCw9Vd3lzDxKorjRENWogmNUkzGgJ2DFVEwEXt5GlxoSI83ICnFZAzYKYgGjuA2Nk40GHQa9HqP+DtQ0YAsy+58mV4LpS+bHWI4JsR5vCmFVU002xzEGbrV2Rp+KBxrLeJRNah6yUFlo42qRivpCV24E607oHhTTijCKEkxqCbJgcXm4mh1M/kZwe9Ii0iowkjxpqQkCj5mrROXHQ6faGJUbiQsjjuxe2LhwoUsWbKEpUuXsnfvXm6++WZ3sSGAK6+80idRUsU//vEPLrzwwlbJjY2Njdx1112sX7+ewsJCVq5cyQUXXMCQIUOYP39+J2n1BH4M4QmPQXWioW+q2V0RUi85KYgwN1qnIPtyTE8wuku66nFQXN0cUaq/01D60oWGPglGJOVUPaNkp7bZTlVTFBR5UiZil6whxaxHqwijRL0LWSY6vEayulVPi0YCk1H0Y5JSUPBAFHFssInHlEQh/pINYm49EA1eI2U81ijelJQkIYwSdeIejqQFWcii4dJLL+Wpp57igQceYMKECWzbto3ly5e7kyOLi4spLS31ec/+/fv57rvvAoYmtFotO3bs4Pzzz2fYsGFce+21TJ48mW+//bZrazWEHb7hCTnKwxMuNGQmGt1HuBqwU9loo7q3GxuvvA0XGjISDO7DY5IMMi5ZqP5eDVlGvV+FMPJwTDOJ+zaaDKoLDalxHo594gTHfdGwXc/l8RilxhnQKByTjWJqjyRj02l4CVyzXotZCRcmGEQ/RoVoUASuTRac1GTPeFU0RNB47JRv7tZbb20zHBHIpT58+PA2Xehms5kvv/yyM82ILLjpSThdMpUNNrIAm9OJoQebFVb4eRpS4vQgC3ZZcUADHCxvYPqgwFtlewV8hJFEerzB7U3JjpOgRUzEkeIq7BT8+jEjwejm2McsQSMUVDQwc3Av7kdwT8Tue1XhqAqjqEj49BJGgqMiGtyehmjgqPSjrHDUCLMVr1M9DZFjUDsN2VcYGfSiA03ayPOmxM6eCBs8h1XVt9ixK8k5VrsjigoCeVbhTjQkmz0GNTNBTFaRdHN3CqpLGw0gifCEcrZ9RpwYLr0+DCO3zttQOaYpp0dHWsZ2p6CIIxmJNC/xl6o4MPdFQ+a9yyOM0uINoBHjMFEffQZVzDkeYRSnrMJ7/ZwDPh4jb/Fn0ojnI2nOiYmGsMEjDBosDmTZE55otkVBDBzciZCqQU02690nCGbFi8deP0mprlDltDnhuhcrmwzlZOVeP0m5AuRtKJNUqjFKwhN+IZgUr/CEugrfV1bf+wV9GyGYeEU0HCxv6P0cvcRfklnvFkZmjeB1+EQTjt5exdSrH5O9OBokwaswgnZQ9PLU4QiCV3jC4nBiwrN7osnmIN4YBf/VXrFFQCjiRnFzZyqioau3spU2lvJV0VdsLd9KaVMpLY4WkgxJ5CfnMzlrMmf1P4tk40lUiJN9OabFGaBBiffHdY8wOlp/lM+PfM6W8i0cbzxOo72RJEMSA5IGMDFzIvPy55GXeBJ1SeQAYSZlFZ5i6J7Eq7KmMj47/BmbyjdxrOEYDbYGEg2J9Evsx8Q+Ezk7/2wGJQ/q/BfI3rkpEqleHBN0LjQS1DTbOdFgJTPJdLJ0AqKypZLPDn/GxrKNFNUX0WBrIEGfQN+EvozPHM/ZA85mWOqwk/sSrxWq8DSIeSZOKyOpHButZCZ2DccaSw2fH/mcjaUbOVx3mHpbPXG6OHITchnfZzxn9T+LUemjTm4njuwRfxlmvVvE6zUuzHotLXYnhVXNDMlMCAelVqi31fPF4S/YULaBgtoC6q31mHQmsuOzGd9nPGfkncH4PuNPjqP7cDXfxZhGdpIap6em2U5BRSNj+vZ89csosGSRAnFjy5KE1eFCTeGUgJZo8TT4GdQUsye+qLruD5R3zXa9sqYyntn8DF8VfYVTbv3/uaNyB58c+oQ/rf8T8/LncdO4m8hPzg/9i/yEUYJJB02CY6pJPFdY1USLzYnZEN6S2SWNJTy1+Sn+V/Q/ZL/dONWWagrrC1l9bDXPbX2O6TnTuWXCLUzMnBj6F/ltK403aD1ubSW5rKu2651oPsHTW55m+ZHlrfqx2lJNUX0R3x//npe2vcSkzEncPOFmZuR04ggtP47C0yBEg1a2k58Rz+ETTewrawi7aKix1PD81uf5z6H/4PDapgyCY3FDMetK1/Hy9pcZkz6Gm8bfxGn9TuvcmFE+34mGVC/RoJGdDEiLo7CqmYPljWEXDQ22BhZvW8wH+z/A5vJNfq6mmmONx9hYtpElO5cwLHUYN4y7gbMHnI1G6oRz2z88oXCUnHaGZSWw/VgdB8sbwi4amu3N/H3H33l337u0OFofw3288Thbyrfw2q7XGJg8kOvGXsd5A89Dq+nEvOCVf+MdgpFcdoZlJbLhSDUHyhtioiG64JnkZVl2b7mU6L7whM1po9nejNVpxSW7xAB1gMMVprwKr1UN4HNzp5o0aCSo7YLV238K/sNfNvyFZoc4gGdK1hRO63cag1MGY9aZqbPWsbd6L6uOruJAzQE+O/wZXxz5gl+O+CW/nfhb4kI570P2KH6AOIPWPUmZtTLp8QaqmmwcrGhgXL+UsHL884Y/uyen2bmzmZM3h2Gpw4jXx1NnrWN/zX6+PfYt60vXs6F0AxtKN3D2gLP5w/Q/kGEO4RwFv9wUs0EHLjHR6XAyID2Ooqpm9pc1MGtI+ETDiqIVPPD9AzTahadmWvY0zux/JsNTh5NoSKTeVs/BmoN8X/I93x//nq0VW7n+q+s5pe8pPDjzQbLj2y8g1x5H4bpXpjunnRHZiYpoqOe0YX3CxnHt8bXc8+091FprARjfR3gURqWPIsmQRKO9kUO1h1hbspbVx1azq2oXt359K1OypvDQrIfon9Q/tC90C3lJiHhlPOKyMzQrkcKqZg6UNzB7SPjO2dhavpXfr/49J1rEIXUj00YyP38+YzLGkGJMocnexJG6I6wrXcc3xd9woOYAv1/9e8ZmjOWhWQ8xNHVoaF/oDk/4uu5x2Rmam8j2Y3XsL2/gnLHhq+uzp2oPC1ct5HjjcQCGpAzh3IHnMiZjDGmmNFocLRypO8LGso2sLF7Jkboj/N93/8cbu9/gkdmPMDp9dGhf6J/Qqsw5uBwMz1ZFQ2SEDGOiIVyQ1QdhbDRu0QB2pwu704Ve2zUpJA22BipbKmm2tz7VzmV3UdFcwbMrn2XOwDlcPOzi0IyoN7zUMEBynMeNpsPpXr3tLw/P6k2WZZ7b+hyv7RInqE7oM4H/m/F/jEgb0erauQPmctvE29hduZu/bf8bq4+t5u29b7Pq6CqePv1pRmcEOYhVYSQLjma9zs0Rl5Ph2YmsPVTFvrLwiAZZlnl+6/P8Y9c/AJiUOYn7ZtwXcGKdljONX4/6NSWNJbyy4xWWFSxjRdEKNpZt5M+z/8zpeUGe2+2zCpeEMLLp3K+NyE6kqKqZvWUNzAqTsXl156s8v/V5AMakj+G+mfcFnFinZk/l8pGXU9FcwWu7XuNf+//Fd8e/48L/XMiDMx/knIHnBPeFfrtgksw6r4nYyYjsJD7fWRbWHRTv7XuPRzc+ikt2MSRlCPfPuJ9JWZNaXTc5azK/GP4Lqi3VLN29lHf2vsPm8s1c9MlF3DPtHi4ednHwX+qVCBln9OLodDAsK4EVe8rDamw+PfQpD6x9AIfLwYCkAfxh2h+YmTuzlZdkUtYkLhp2EXXWOt7Z+w5L9yxlZ+VOLv3vpdw+6XauHHVl8J6VVomQnn4cliW8C+HMwfm6+GvuWXMPFqeF3Phc7pl2D2fkndGqvRMyJ/CzoT+jyd7E+/vf59Wdr3Kw5iBXfHYFN467kRvH3xi8Z8Vr3kmJM/j049CsRCBycqliiZBhg+9KXqsR/7XqUe+dCVHMmTOHO+64o83XHS4HRfVFFNcXuwVDnD6ONFMaGeYM0kxpmHVmJCSONRzjyc1Pcs5H5/D+vvdxyZ1IHPI68x3wU/0Ohis39/4wTMSyLPPMlmfcguGm8Tex9JylAQWDN0ZnjOals17i5bkvkxOfw/HG41z5xZX8p+A/QX6xrzfF29OAy8GwMHIEeOGHF9yC4cZxN/L6gtc7XInlJuTyx1l/5L2fvMeItBHUWeu47evbeHn7y8F5lHw4Sq04jsgW20n3hakM8Wu7XnMLhl+N/BX/PPefHa7EMuMyuXfavfz7/H8zvs94muxN3L3mbp7Z/AxOVxBjSfatt2HWa1ut3iB8Oyg+OPABf97wZ1yyiwuHXMj7P3k/oGDwRpopjTsn38myC5cxPXs6FqeFh9Y9xMPrHsbuDPLobq++jNNrfTwN6r16MEzG5osjX/B/3/0fDpeDsweczb9+8i9m9Z3VrvFPNiZz84Sb+fTCT5nTbw52l52nNj/Fou8WYXFYgvtib9d9nNec4/RwDJdBXXNsDb9b/TssTgun9D2Ff5//b87sf2a7HOP18Vwz5ho++9lnLMhfgFN28tftf+WOb+6gyR5kTZc2dojgsod1Xg0HYqIhzFDnbI1G9TiIv1vCnPna4mjhcO1hGm2NSJJEujmdYanDGJg8kJyEHLLis8hJyKFfYj+y4rO4ecLN9E/sT7Wlmj9t+BPXfHkNRxuOhvalSvzUgVh5J3nFF70HcDhu7jf3vMkbu98A4I8z/8gtE24JKR46u+9sPjz/Q+b0m4PNZeO+7+/jlR2vdGxU/bwprQ1q+Capt/e+zas7XwXg/hn3c+vEW0PiOCJtBO+c+w6XDr8UGZnF2xbz0LqHOjaqfnkbcQZdQI7hSGr99NCnPLvlWQDumHQH90y7B50meAfnoORBLF2wlGvGXAPA67tf5+41d3dsVP1yGsx+/ThSEUYFFY3YTzLzftXRVTyy7hEArh5zNQ/PehiDNvjqLH0T+rJk3hJun3Q7EhIfHPiA2765LWAcvRXUvpQ1yr3qMahDMz39eLLhyU1lm/jDt39ARubiYRfz9OlPh+Sx7BPXhxfOfIFF0xahlbR8dvgzblxxI422IDwE7vtV8slp8BZGRyqbsDlOrh/VkITD5WBB/gJeOvMlEg2JQb8/1ZTKk6c/yZ9P+TMGjYFvjn7DVcuvotpS3fGblXlHRiLBqPNbqAhvyvHaFhosQYrJLkRMNIQLyqBUwxP+noZwbpdpcbRQVFeE3WXHoDUwKHkQ2fHZ6FV16geNpOGcgeew7MJl3DvtXsw6M1vKt3DJp5ew5tia4L/YLxGyrdXbyRrUzWWb3Ybm91N+z0XDLurU5yQaEnn+zOe5fuz1ALz4w4s8t/W59idQtzdF4ehjbOyeFepJCqNtFdt4atNTANw+6XZ+MfwXnfocvVbPfTPu48GZD6KRNHx48EMWfbeoVQKeD7zi4BBAGOUIg7q/rOGkDgM6UHOAh9c9DMA1Y67h2rEdH1YXCFqNljsn38kTpz2BTqPjq6KvuGPVHVid1rbf5JfTIISRGmZy0C/VTLxBi83porCy8xU+jzYc9TGmd066s1MJjZIkcd3Y63jprJcw68x8f/x7bll5S8crVa8Vqsng62kY1CcerUaiweKgvL6d/6sOcKL5BHetvguHLIzp/TPu7zTHy0dezpJ5S0jUJ7K1YivXfXUddda69t/oVTslzqDz4uggJ9lEolGHwyVz5CT6sc5ax8JVC7E6rZza91T+cupfOpfQCJw/+HxeX/A66aZ09lXv49ovr6WypbL9N3mFmcze4s/lIMWsJytJ5BZFQv2UmGgIG2Svf0Gjigblmc7uoHC5XNx9992kpaWRnZ3N/Q/cT1F9EU7ZiVlvZlDyIEy64PIH9Bo9V4y8gg/P/5CJmRNpsjdx68pbeWPXG0E2xjNB6bWSyNHQtnbdHyhvxNVJY1NnrePuNXfjlJ38dNBPuXLUlZ36HBUaScNvJ/2W30/5PSBc5a/seKXtN7gnYdWg6vxiqILjiQZrp0tmN9oauWuNmITnDZjHtWM6Z0y9cfGwi4VRlXR8ceQLHln/SNviyKeAlSqMPHkb/dPiMOu1WB0uCqs6NxFbnVZ+v/r3WJwWZufO5vZJt3fqc7xxzsBzePHMFzFqjaw5toZF3y5q26vit+XSV+A60WgkhikCcG8nBaDD5eDu1XfTYG9gfJ/x/GHaH05619Bp/U7j5bkvE6+PZ1PZJu785s72vSpeYzJO79uPJr2WAenCG9BZIS/LMn/47g9UWaoYmjqUh2c/3LkdEF6Ymj2Vf8z/B6nGVHZX7eaWlbe071Xx8v75CFynA0mSGKKsxE9msfLQuoc43nicfgn9eOy0x9BrAi/AgsW4PuN4fcHrZJozKagt4Pqvrqfe1k64zzvM5D0eoUvCoieDH6VokGWZZntzeH8cLTQ7rTQ7LFicLVhdFpqdVlqc4u96WxMN1saQ3YRLly4lPj6eDRs28Njjj/HnP/2Zb7/+FpPOxIDEAZ1Sw3mJefxj3j+4eNjFyMg8veVpXtj6QhCue8+NbdYr3+u1Qs1Pj8Oo0yj7pjtnbJ7e/DQnWk6Qn5TPfTPuC9vWzd+M/g33TrsXgJe2vcSHBz4MfKHL16D6r8LjjTrylLKJnT274Pmtz1PWVEa/hH48NOuhsHGcnz+fp05/Co2k4aODH/HStpcCX+iX7OnPUetlUDs7Sb2y4xWO1B0hw5zBo6c+etKGRsUpfU9h8VmL0Wv0rChawWMbHwt837rd9uKYen+OgDt3Y38n+/HtvW+zq2oXifpEnjr9qTY9faFiUtYkXjn7Fcw6M+tK1/HA2gcC5yB5FbByr8K9whMAwzJPrh+XFSxjfel6jFojT5/+NGaduVOf44+R6SP5x/x/kGRIYvuJ7dy95u62vWNe4QmTX94GcNIx/5VFK1lRtAKtpOXpOU+TZAhPifiByQN5fcHr9DH3oaC2gIXfLGxbAPqdr4H3veRyMErx/u0u6cAr0w34Ue6eaHG0MP2d6T3y3Rsu3xBSLHDcuHE8+OCDAMTnxDP6+dFs/HYjV/3sqk67z0C4tR+Y8QB5iXk8u+VZluxcgs1p43dTfte2EVMNqixhNqqiwTNJ6bQaRuYkse1oLTuP1zGoT2j7pjeVbeLjgo8BeGjWQ53f5dEGrhh5BVUtVSzZuYRH1j/CgKQBTMme4nuR7DE2GgmMOk1AY3O0uoU9JfXMGhza7oLtJ7bz/v73AXhw1oMkGMK7t/ysAWdx34z7eHjdw7yy4xWGpAxpvePAvXJTvCl6XSuOI7MT2X60ln2l9Zwb4la2gpoCXtspElj/MP0PpJpST4JRa0zPmc5fTvkLd625i/f2v8eQlCFcOuJS34v8clP8cxoAd+5GZ5IhjzceZ/G2xQD8bsrvQtsOGgTG9RnH06c/zW1f38Z/D/+XQcmDuH7c9b4X+VX2NBs0IPka1NG5SSzfXcauThibqpYqntz8JAC3TLiFgckDO0emDQxNHcqLZ77I9V9dz6qjq3h+6/P8bsrvWl/oHpN+Ca2KAVbPgekMxyZ7E3/e8GdA5KOMSh8VOpF20D+pP3+d+1d+88Vv2FC2gUfWP8LDsx9ufaH/gszb0+G0u+sz7Dre84es/Sg9Db0J48aNA4RLu8ZSQ5+sPljqLGFZ1UiSxDVjrmHRNHGU+dI9S92Z/AHh40JTBq5XnBhgrPvmDm0Au2QXj298HIBLhl3SYeZ5Z3HbxNs4d+C5OGUnd625ixPNJ/wa4stRkqRWxmacwnFniBxlWebJTU8iI3P+4PM7V7QoCFwy7BJ3yOPBtQ9yqPaQ7wV+9TbaM6h7OrGD4pktz+CQHczJm8Pc/nM7Q6FDLBi4gDsn3wnA45seZ3flbt8L/PI2/PNvwEs0dGKF+sLWF2hxtDA5azI/H/rzzlDoEKf2O5X7ZtwHCO/YhtINvhf4VPbUinobXq57gDH9lHv1WOgG9e87/k6DrYGRaSP59ahfd4JBx5iUNYm/nPoXAN7Y/QYri1a2vsjrfvWJ9yODy+VlUOtC9uS+vut1TrScoH9if24af1OnebSHEWkjeGbOM2gkDR8XfBx4J5dXyNBnPAK4HG6Oe0vre7xk9o/S02DWmdlw+YaOLwwFlnqoLcSCkQJXNoOStcQ1HAZJy4m4IZQ3WEgxGUJ27+n1elyyi5KmEgAMWgNawluJ8PKRlyMj89jGx3h+6/NkxmVy/uDzW1/orj6nFW5C8ElKAhjTV1H9ISriL458wf6a/SToE/jtxN92jkgQkCSJB2c+yIGaAxTUFrDou0UsOXuJx7vifdqcWvHRK04MXhNxiKLh66Nfs/3Edsw6M3dMuuOkubSHWyfeyq7KXWwo28DvV/+ef/3kXx6h6SX+9FoJg07TiuNYheOOEI3NprJNfHv8W3SSjrum3BX2yqDeuHr01ew4sYOVxSv53erf8dH5H3m8U/55G37xfvCEJ47XtlBvsZNkCk6I763ay+dHPgfgrqldy/HiYRez/cR2lhUs4+41d7PsgmUez42fpyFOrwV8PQ2qiD9c2USDxU5ikByL6ov4YP8HgEhGDmXHS6iYnz+f7Se28889/+S+7+9jdMZoX8+NTyKk1pNjBOCyMyonCa1GorLRRlm9hZzk4ObYiuYK3tzzJgB3Tr4Toza81U+9MbvvbG4efzOLty3mzxv+zNg+Y33LpHtV9jQHyGkYkJZKglFHo9VBwYlG973bE/hRehokSSJOHxfeH52JOK0Rk9aESWsm3hBPnNZInNZIWlwCJq0ZWTZ0aoKpaqnC7rSj0+i67Ma+YuQVXD36agAe/P5Bfqj4ofVFPqvw1jkNgEf1lwSv+u0uOy/9IOLvV4+5mhRTSidZBIc4fRzPznkWk9bEhtINfHjQK7/BP+kKWnF0T8QnmoLeAuWSXbyw9QVA1CroExe+KoSBoNPoePy0x0kzpVFQW8CSnUu8GuMXP4VWHEflJKPVSFQ0WCmrC24/vVqMC4SxC7m6YYiQJIlHZj9C34S+HG88zgs/vOB50ScOrhFboCVfr1hynJ6cZJFEfCAEb4P6PecMPCf0yn+dwB+m/4HByYOptlTz5KYnPS/I/uEJbauchowEo5vj7pLghfzibYtxyA5O6XsK03KmnTyJDnDn5DsZlzGORnujbxKvT96GktPg57o36bUMVUpIh+JRWbJjCS2OFvcZGV2N68dez4ycGbQ4Wnho7UO+eSreuyf0WlFR2CsMo9FIjM7t3IIs3PhRioaugf/uCY84UFflVocz5C1sLtnl3q6TFZfVpauaOybfwbwB83DIDn6/+vet9xfLgYyNr6dhWFYiBp2GBouDoqrWFSoD4cvCLznWeIw0Uxq/GvmrsHDpCPnJ+fx2kvBoPLX5KSqaK8QLLr/YIrQyqBkJRnJDnIi/OfoNh+sOk2hI5OoxV4eJRftIN6ezaLoIPS3ZsYSCmgLxQsAwky9Hs8EzEW8/VhvU920u38yOEzswao3cOP7G8JDoAImGRB6Y+QAA7+x9h+0ntosXZL9JGFpxBNxbaIPdQbG/ej/fHf8OjaThtgm3hYFBxzDrzDw8+2EkJD49/CnfH/9evODlaZAljW/+jex0bwMPNWR4rOEYXxZ+CdClXj9v6DV6Hp79MHqNnjXH1rC8cLl4wT9vQ9/adQ+hc6y2VLvzp26beFuXzqsqtBotD896GLPOzNaKrSwrWOZ+TZb9QjDQam4d08nQb7gREw3hglqnQdEEkjtbXEav1bhLSIdar6HF0YJLdmHSmU7u9MYgoJE0PDz7YfKT8qlormDRt4vaVsP+rntlZaPXahipTMTBuO9lWWbp7qWA8HaEO/mxPVw+4nLGZYyjyd7EX7f9VWmQp859W54G8Ljvg13ZqNtaLx1+aUgFY04W8wfMZ07eHByyw+0F8N4h0h7HcSFyfH3X6wBcMPiC0M7COEnMyp3F+YPPFzuBNj8tVqn+e/shIMdQd1C8vltwnDdgHnlJJ3HSaIgY12ccV4y8AhAi1+ly+hhUo14vDJ+2bYMabDjtn3v+iUt2MSt3FiPTR4aJQccYnDLYXVPluS3PYXPafLwpkkYrQml+OwvAK5wWJMd39r6D1WllTPoYpmV3vSdFRU5CDrdOuBWAZ7c866nD4VWkqy2R6wn9xkRDVMH/7AlVRag3QiiVIf/39f9Y+PBCQJTVlSSJZcuW8cYbb4SvwX6I18fzzJxnMGlNrC1Zy0cHP/K8GGjLpTunwcPLO0TREdaXrmdf9T7MOjOXDr+0w+vDCa1Gy11T7wLg44KPOVJ3xEsYSW0mewLucyeCmYi3VWxj24lt6DV6Lh9xefgIBAFJkvjd5N+hlbSsPraareVbPf0ot523AR6OwXgaCmoK+Pb4t0hIXDn65GprdAa3T7odk9bEDxU/iIJlXuGJ9jiqyZB7g9hBUdJYwvIjYgV81Zirwtf4IHHT+JtINCRSUFsgcipkX9EAtHLdQ2g5ODWWGveY7y6PmDeuGnMVmeZMSppK+ODABz59ZVA5Sl6hJpVjCMmQzfZm3t33LiA4doeXwRuXj7yc/KR8aq21vLP3HfFkwLnVd5eIKv52l9SfVNG1k0VMNIQNvp3ouRHF8yZl4gqlyFONpQaX7MKoM5Kg75qz4gNhaOpQbpsoXK/PbH7Gs8Og3ZwGT2xfHcA7jnY8SamJSD8b8rMu96QEwoTMCczpNweX7OKtPW/5Dt5WbsLWwiiYiVjl+NPBP+3yXIZAyE/O58IhF3ra4tWP8e2swsd7CaOOJuK39r4FwFn9z2JA0oDwNT5IZMZl8suRvwTELqBgwxPexqajctLv738fp+xkWva0bsll8EeyMdldTvuN3W8gKzsknLIkDqsCv1W4r7E5UtlxDs5HBz/C4rQwMm0k07O7f1u6WWd2h7b+ueefOB2eSpZ6vRc3vwRs/2TI9vDZkc+ot9WTl5jXLbkM/tBpdG6OS/csFWdwKGNSq9WhUw829AtPDMxIIM6gpcXupKAHK0PGREO44HfKpeSV04AsK5nNwYsGl+yiylIFQIY5o0fU8Kj0UTTYG9yHDXln+JrayGkAmNg/BRAr1Pa2B5U2lrrjs92VyxAI6sr4k0OfUK/Uwu/Ide89Edc1tz0RV1uq+eboNwDd7mXwhrpl7puj31DSIvI3fHeIBI73G7QaapvtHK1uu2Jfs72ZL458AYj7pqdw+YjL0UpaNpVt4kD9EUCEmdrjOCgjnpQ4PVaHiz3t5KfYXXb3Vrme5HjJsEswaU0cqDnAlkqRvxFQGIHbEGUkGOmbYkaWYXs7Ql6WZbeX4Zcjftntc46K8wefT7IxmeONx1lT8p37eYO3aPBbrJj0WnfVxG3Fte1+/kcHBMdLh196UrVuTgbn5J9DTnwOddY6Vhb9D0kxIHq9V//5cdRqJLeQ31pc053N9UFMNIQNnkRISZI84QnlWdUAWRzOoPbZ1lnrcLqc6DX6sFUoCwU6jY7/m/5/AHx6+FPhuvdKhIxrldPgmYiHZSaSaNTRbHO2uwd+2aFlyMhMy57WrfFhf0zJmsLg5MFYnBZWVu8E2k8SBEiLNzAwIx5ofwB/euhTHC4Ho9NHMzxteNcQCAKDUwYzLXsaLtnF8vJNQPs7RAAMOg0jc5SJuJ0QxZeFX9LsaKZ/Yn+mZE1p87quRnZ8NmfknQHA56VCjHbEUaORmNRfbGHcUtR2P645toYqSxXppnRO63daF7Q+OCQbk93Fuj47+jXgJ/68K296ecYmDxAcNxe1fXjS5vLNFDcUE6eLY37+/DC3PHiYdCYuHHwhAP8t+srzvCGAaPCad6a4Obbdj/ur97Orahc6jY6fDv5p+BodIrQaLT8b8jMAPi7whIANeq+DzrzK16uYNCAFgK3tcOxqxERD2OA5sEr8p/p6GnRaDUadGNjNQXgbaqzipkg1pYatBG+oGNdnHHPyhOv+1Z2v+pQfbp3T4DsRTxzQ/kTskl3ulZvqOu8pSJLEgoELAPiqehfQhqfBa4KCjidiWZb5+KDI0O6qAkChQDUEX1VuBdryNPjemxMVg7q5sG1jo65Ofzb0Zz22OlUxf6DguKJsIyByGlr1o1IUSIXaj+2JP5Xj+UPOP+lzCU4W6r36dek6nPgJowDFyACm5HcsjFSO5w46t1sTkgNB5fht6Xosyj0V0NPgldehcmxPNKjbq8/MO5M0U1o4mxwyfjLoJwBsLt9Kg8oxoDDyeDJVgRvzNEQDvGK+kkYSg9cP6sBusrVzAiFgcVhosQt3cIoxJXxt7ATUbOblR5ZTp2T6OgMaG18XfUeqf0PpBo43HidRn8jZA87ugpaHBnWFuqWxEDt4jhqGgImQAFOVSWpTYWCOOyp3cKjuECatqXUp5x6AynFP4zEaJMnPoAbmOG2gmFg3HgksGg7XHWbbiW1oJS0XDL6gaxoeAk7teypaSUtxSzmlWi1O2TuU5lswR4UaTmtr9VbRXMF3x4Wb/OdDel78Tc2eSrw+nmpbHQUGvW94AgKKBlUY/VBcGzCJrsHWwIqiFQBcNLRzp8qGE6PTR5NpzqTFaWGH0YBD1oiKlyra4bj7eF3AMLDdaee/h/8LRAbHvKQ88pPyccpO1pvFFm6fvA136Nczt6oi/tCJJmqbO3dg3sniRyMaTvY8+SC+QflXUo7D9vU0AMQr5zU0W9v3NNRaawGxB/1ky0WfLO+xGWMZnjocm8vGf6tEDNUVMEkw8Cq8rYlYrah3zsBzgj6lsysxNHUoiYZEWlx29hkMOH2y7ltPUABT8oVB3X60FpujdchJjfOfNeCsbt1m2Rb6xPUhLzEPGZltJmOHIRjwrN72lzdQ19I6d0PdTTArd1aPJHn6I14fz4i0EQD84OYYKN7vm/Cp1UiU1FkoqW2du7GiaAUu2cX4PuPJT87vyuYHBb1Gz7gMUV5+m9HoOx6hza2lakXBQAc7rTq6CqvTysDkgT2S5OkPSZKYmDURgO1Gv36EgBz7ppjJTjLhcMlsO1rb6jPXlqylwdZAH3Mfpuf0zNlD/piZOxOArSZRtC9gCMbL+5cWb2CQEhb9oYPcja5C1IsGVbk1NwdXaKjTkD05DZpWXgbxmjpBt9iduNow5i7Z5RYN4TjoR+Xto2BDgCRJ7tjfqvoDADjQtpvTADAhLwWNJEr0ltb5TsR2l52vi0U8VnVD9jQ0koZJmeK8i+0mMRHHtZN1DyKJLi3egNXharW91CW7WFEoVm4L8iODI+DhqBib9uL9AJmJJvLT45Bl2BIgDPNVoYg5R0o/AkzMFMZmm9GIE21rYQQ+bu14o86duxHI7asWOoqkfpyQOQHAS/x5G9TWW0u1GsntUQnUj94cezrEpGJ8n/GAGI9OtO4daEBAjpIkMdkdhmmb47z8eT2WAOmPsRljAdhjFLkMRh9PQ2uOILwNGolOnyR8suiUaFi8eDH5+fmYTCamT5/Oxo0b27z2jTfeQJIknx+TyXdlKcsyDzzwADk5OZjNZubOncvBgwc707RW0Gq1pKSkUFFRQVVVFS0tLVgslvD/2OxYHDJWhwvZYcNitWJxgMUhY7GI75QdNjQuO067ldqGpoCfU9NQg91qR3JI6Jy6TrenpaWFqqoqKioqSElJQavt/CA5vd/pAGxuOkqzJAUuPyz73thiIhYJnJv93PcbSjdQb6sn3ZTuNmKRgGGpwwA4rNe1sQr35ShJktujssWP4/YT26loqSBBn8Cs3Fld2/AQMDR1KACHDXo/8de6kqCKqYpHxT8MU1BTwKG6Q+g0OubkzenSdocCNeFU5WgKuLPAzzOmuH03+YVhypvK3SXVIyGMpmJkmii6dEiv9y1gBW0KwMlthAzrbfV8XyISR+cNmNdFLQ4d6omTBfrgQjDQdljU6rS6dzH1ZJKnP1Sv2AGDARkwBvQ0+Hr47l4wnO0PzuPq2eE9dTRYhHwKyfvvv8/ChQt5+eWXmT59Os899xzz589n//79ZGZmBnxPUlIS+/fvd//tr2SfeOIJXnjhBZYuXcrAgQO5//77mT9/Pnv27GklMDqD7Gxx+ElFRcVJf1absNSBpY5GGmnRtuCqN0LdCTEBN+jdN0Bto5UWuwtrjS7g4TG11lqa7c3E6+MprCk86WalpKS4+XcW+cn5ZMdnU9ZUxm6jAafDK77YxuAFYWx2l9Sz/nAVPx2f635eXZ3OHTA3YhQ/4D7697Bez6yAB1a15jhlQCor9pSzsbCa60/zHECjrmrm5M3BoDW0el9PQeVYqAgjs38BKxDiyKuy4NSBaXyw5Vgrg/qVktk+O3d2j+zwaQv5SfkAFOl1gXf6QCsBOHNwOkvXFfH9oSqf59U4/6TMSWTFZ3VZm0OFWgujWK/D4b0FGtoxqEL8bThcjSzL7nn4m+JvcLgcDEkZwpDUIV3f+CDRP1GcXVKq02L1zr+BgEmC4BG4WwprcDhd7poHa4+vpdHeSGZcptuDEQnISxS7xho1GmokbRvhCd9+zErq2XBuyKLhmWee4frrr+fqq0W1sJdffpnPPvuM1157jXvvvTfgeyRJatNwybLMc889x3333ccFF4hEqjfffJOsrCyWLVvGZZddFmoTA35/Tk4OmZmZ2O3BHTAUMtYthi2v85HjFDb1v4ZHfz4C/v4bsDfDr5ZBSj8Atmw5xt9WFTB5QCpPXDzM5yPsTjt/+OIP4oz3U/7MwD4npyT1ev1JeRi8MTZjLGVNZew0Gshqkrw8DW0b1NlDMnhjbSHfF1S6n7O77HytbBWLpFUN4D5gqaSVsWlbGE0flA7A+sNV7knKJbvcxiaSVjXgMTbHdDocsrZ1CAYET2/RoEzEO47VYbE73QZKFX/z8iOrH1WOZTodzZLku7NA0gpvil9fzhiUjiRBQUUj5fUW98SsCqNI49gvsR8aJJo0Giq12g7j/SDyUww6DWX1Fg5XNjG4jygYF6kcM8wZmLVGWpxWjun1QXkaRuYkkWzWU9diZ+fxOnfioJvjgHk9thstEEw6E5mmdCosVRT5cwywMy0SENL/ns1mY8uWLcydO9fzARoNc+fOZd26dW2+r7GxkQEDBpCXl8cFF1zA7t273a8dOXKEsrIyn89MTk5m+vTpbX6m1Wqlvr7e5ycYaLVaTCZT1/w46jA1HqWxsZ4Wp/I9LWWYGo9i0uG+btqQLI43OPlqfzVo9T6fsa1mGwVNBdg0Nib1nXTSbQqXYAAYnqq4fN3uUH+D2joRcPqgNLQaicKqZo7ViNyKbRXbqLPWkWZKY3LW5LC1LxzoYxaJfJVaLXZvl287g3ds32SSzXoaLA533fu91XupaK4gThcXUaEJwH0mRItGQ5MUaDsirXjmp8eRk2zC5nS5d1EcrT/KobpDaCVtRIUmQOw40illhms12qBW4SlxBvcpgusUb0ONpYZtFdsAeqRyYHswaA2kKsm1lZqOcxpAFEBS3feqkG9xtLChdAMQeRwlSSLHJO7Xcq1/PwbmqNVIzBoshPx3BwVHp8vp3v0SaRwBcuOEh75Ep/dLaA3MsacRkmiorKzE6XSSleXrpsvKyqKsrCzge4YPH85rr73Gf/7zH9566y1cLhezZs3i2LFjAO73hfKZjz76KMnJye6fvLyeKwzkhvfpiO2sUIdmJpCZaMRid7XaWaCq4bMHnB1RbnvwdYf6VoRs29OQZNIzXql7v7ZATMTfHvsWgFP6nhJxHFWDapckGjUBDGqAeH+gSUrlOCNnRkSFJgDidHGYJCVUpvUqP9yOaJAkiVOHiv+bNQdESfFvjwuOEzMnRlRoAkR703Qiw7xW6+/WbsczNlhwVA3q9yXfIyMzPHU42fEnF+LrCqQqpeVrtMGFJ0B4/8Bzr24q24TVaSU7PpuhKUO7tsGdgMqxVqvtcIeICjdHpR93Vu6k1lpLoiHRnUAaSUhVxk+1JniOPYku99PMnDmTK6+8kgkTJnD66afz0Ucf0adPH/7+9793+jMXLVpEXV2d++fo0aNhbHEnocTWAiZeeSWySJLEKX43NYhse9XYnDUg8tSwWrGxWKdXMtI7dt2DZwB/f0gxqIqxObXvqV3Y2s7BoDWQpBFbn2q1BBULBzhlqO9E7ObYL/I4SpJEuk4U7qnVeXGU2ud46lDhhfm2F3AESNcrokHXRiw8AMdZyr269lAVsiy7x2OkckxzG9SOtyOqUMXfOiWcpnI8re9pEbNrwhseYRRcCAZwz69bi2tosjrc9+rs3NnovMVxhCDFi2MwIZieRkiiISMjA61WS3l5uc/z5eXlQSfb6fV6Jk6cSEFBAeBJUgzlM41GI0lJST4/PQ6fcxnUA0cCd7rbkHqJhr3Ve6myVBGni2NyZmS57QGy40RfVGs12GWp3UOAvOHhWkVJQwkFtQVoJI17f3KkIV0rYtn1Orm1xwgCT8RDhEHdWlzDsfoT7DwhSlGf0veUrm1sJ6GKhjotXv2o8ZQgdrXO+zllSAaSJOo1FFXXsqlMlKKORPEHkKYKI43Uhls7UOJuKnqtxPHaFg5VNrh3FEQqx1Rd6KJhdK5XOO1YbcSLP9Wgtu7HtjkOSI+jb4oZu1NmY2F1xIu/FL0IM9WF0I89iZBEg8FgYPLkyaxcudL9nMvlYuXKlcycGZwRcDqd7Ny5k5ycHAAGDhxIdna2z2fW19ezYcOGoD8zIqB0rF3WBUgS9F3VqCvTHcfrqGkSVb3UG3tm7syTLujUFVBPoJQliUatl0FVV6gBXPcgqu2Z9VoqG638a49IDhzfZ3yPnGgZDBI1IpzQLBF4f3+AAdw/PY7+aXE4XDLvbF+BjMzQ1KER6dIGSNYIYdSoIehJKjXewDjlkK63t3+N1WklJz6HISmRk23vjVStGYB6LUFtRwRxnbrD4N3t31NnrSPRkMi4PuO6vL2dQariTanTSn7VEtsWRt7htE/2bOd443H0Gj3Tsqd1eXs7g1RV4Gokv1V42xy9w2lf7TvA3uq9SEgRK+KT1VCaxj/M1DbHnkTI4YmFCxeyZMkSli5dyt69e7n55ptpampy76a48sorWbRokfv6hx9+mK+++orDhw+zdetWfvWrX1FUVMR1110HiA6+4447+NOf/sQnn3zCzp07ufLKK8nNzeXCCy8MD8vugJenwdzOCZAgtsyMyE5EluGb/WIbaCS77UEcYJUkKQZVK2PUqd4Ur5tcbp0MadRp3QN4ReFqIHJX4ABmBB+Lt0H1EQ2Bd9+cNkxw/PpoZPcjQLzCR3AMzqACnDZMeFTWHPNwjESXNkC8Iv5aQhBGAHNHidyqb4rEvRqpLm2AJMUr1tTKoLYdggGYM1z049fFguPU7Kk9ftZEW0hWREO9tq06DYE5nq7cq18XiQTIMRljevysibaQ4hZ/bXkaenEiJMCll17KU089xQMPPMCECRPYtm0by5cvdycyFhcXU1pa6r6+pqaG66+/npEjR3LuuedSX1/P2rVrGTVqlPuau+++m9tuu40bbriBqVOn0tjYyPLly8NSo6HboExCgXMaWk9Q85TJ6avd5dRYaiLepQ2QrIoGg+QxFh2swkGdiJ0cbREcZ/ed3ZXNPCl4RIOXMOog3g9w9qhsQOa4ZQcgjE2kwqQMe4uGNhKv2jc2KsdI2xnijTgl2dMiEVKceO5IkcleZhcHl0VqGA3ArCxKLFJbeRuBOZ45IgtJghN2sYttZk7kclTFX7NGIt4YmsA16DTUyXsAkZQcqUhSyug3aDS+tXsiNDzRKQl96623cuuttwZ8bdWqVT5/P/vsszz77LPtfp4kSTz88MM8/PDDnWlOZMBbNASRJDhvdDYvfF3A6gMnWHO0FBmZYanDIqqAjD+SEDe01Tt60ko0GFu976wRmejMpciShQR9IiNSR3RtQ08CZlkYVJvWWxgp8X7Z1eYAnjkoncSEGtDWo9cYGJ8ZOQVk/GFShZHkvwpv3x06MS+VjGQbVkMFEhJTsqd0dVM7DbMUwGMEHW5jG5Aez+BMPeUmkVw9NXtql7bzZGCWPB6jhBAMap9EI5P6J7HfeASAqTkRzFHhYpUkEk3Bc4w36pg9JJ2NjsMATMuJzPALeHnFJM/5REDEiobIqXLR2+G1eyKYwkejc5PITTbRYnfy2UElnyGCFT9AgmpsvKVmGycHeiM9wUj/vsL7lG0YFXFbLb1hlIVQsPs3sYMBbNBpGJYvQk1p2qEYta3FU6TA6FKFEei1XlNABxw1Gomxg8WWy0RNXsTmpQAYZI83JdTV25jBNUiSCyPp9Evo15XNPCmYFGHUIkkkmUPjOH5wE5LWilaOi2wRr3hTWjT4iYaO4/1Th7jQ6OtA1kVUFUh/xLlDaRKJxgBnTzi7qCBhJxETDeGCV52G1rsnWq9qJEnibCVEsb1yCxDZahjApBgbu9Yrju3jaWg79haXVAhAc/2Armha2GB0KaLB3wfXRn6KN0yJhQA01PbvgpaFDwaVo9YvcTUIjuakIgAaa/MDHrEcKdA5FWGkEYLOjSAMqnqvWhsGYg1wemmkQOv0FkaBDGo74zG5EABbYz6N1sjlaFQWKlbJz5viLrjWNkez0o+Oln7U9szZTkHBWzQk+PRjxxx7AjHREC54hSeC3Y44b3Q2kq6OZrkcjaRxn84XqfAYVC9j4V2StY2b2+FyUGHfC8Ch4iwqGixd1saThcrR0cqgth/vl2WZYxaRs1FZmce+suCqlPYE9Go/+o/+IAyqmpfSVDeATYWtTxKMFOiVbrJ1gmNxs8jZaGnI55t9XXhezUlCq1CwSqF5jAAONYhj7u3NA/lyd+AiepEArXKvWjT4GdSOOe6t3QqAs2kwn+0obfO6noYaZmrxF0ax8ESUQxUNcvCiYcagdFLTROy0r3kIiUpZ2EiFSVmQ+KxQJalDnvuq99HiaEYjx+Gw5PDp9sgdwAbF2LQWDe27Q4/UH6HaUoWEDmdLHh9vPd6FrTw56BUKrT0N7a9QTzSfoLD+CCDhaB7IJ9tLuq6RJwmdUxgbW4gcm+3N7K4SCYLO5kH8Z1vkctR2UhjZXXa2lnsM6rIfIvde1SieeaskdmJ5XmifoyzLbC7bDIh+/DiCOepcgpdNI2H2LiAbEw1RDmUrnhMtxiByGkDsmc7LFZOSq2VQwGsiCapBbT0Rt39zq4WABiWMBTQRPUnpnYKbQ9MGxzbii+oENShxDMh6lm07HrHue88qPLR+3FIuwmh58UPAFcen20uw2CPLdapCq/SjTQqN47aKbThlJ31M2cj2NL7eX0FdS2TFlFVIDsHNGqJo2F+9n2ZHMwn6JFzWbNYdrqK0rqULW3oSUMVfK47tz63HGo5xouUEeo0eyTqA3SX1HChv6MKGdh6SFwUXVs8f0VKnIYY2oKxc7IHCE862O71JI44MLzyWQ11zZE5OKvR24Wpw6vwmYqn9m1s99GfuoBnoNBI7j9dRUNHYVc08KeiVidiu8Yvzep8/EQDbTwh375wBU0k26ymvt7L2UGXAa3saWjfH0AyqyvGUflPpm2KmweJgxZ7ygNf2NDR2YWysneQ4LWcyw7ISsDlcfLkrMt33GrsiGvxLZXRgbFSOEzLHMS0/A1kmYj0qsk2MQ6skvAdudBAu3HZiGwCj0kcxZ1hfgIj1NrQ0O9Ep3JodzZ4XoqVOQwxtwLu4U5DnMpxoPkF5y3GQJSyNA/jvzsgcuCrcoiGEeL8sy+yoVPb195vsLrry7y3Huq6hJwGdkvjWpmhooy93nBAcJ2VN4KfjRbXTjyI0RKFV+tEuhcZRNTbjM8fx80liIo7UfsQm7kVbqBwrVY7juWCC4PjepuKuaeNJwmERHNoWRu0L3PF9xvMzpR8/2nrM1yhHCCzNov9kCaxO71V4kPdqn/Hue3XZD5Hp/atpsmB2tScaYp6GqIQccMtlcDd2hjEfXCb+ua4oIgeuCq1dnYj9JiN1ZRNgFV7aVEplSyU6ScfItJH8Yqo4+Or9TcUR6dqWFGPjaGVs2o6F11pqKawvBGBcxjgumiS26X22s5RqpUx4JMFpVfpR00Y/BvCMWZ1W9laLZNZxfTwcvz14gpLayHNt21sEh1aiwX2+Rut+dMkut/gb12ccl0zph14rsbW4ll3KseeRBJvimXRIMk5vPkEK3PF9xnPeuBzMei0HyhvZcCTyElstzR4OLQ6v+ywEjmeOyCQ1Tk9pnYX/7Y08z1hNYwvxSjXdZntMNPxo4C0a3AU6OnATqjf27H6TMOu17CtrYGMEDlyAinoLBmWF2trYtH1zq8JoeNpwTDoTZ43IpG+KmZpmO/+NwIxm2aqcIdJKGLXNUfWk5Cflk2JKYUJeCuP6JWNzuHh3Y+StUl3qCpXgQzB7q/bicDlIM6XRL6Ef+RnxzByUjkuGpesKu7jFocPRovajjMO7z9rpx8K6QhpsDZi0JoalDiMz0cSCMcJr9PaGoi5vc6iweYUzgzWolS2VHG88joTE2IyxJJn0bm/D0rWFXdncTqGhyYZBWYUHy7HZ3syBmgOAEH8mvZbLpolt0JHIsabJQpzqaYiJhh8PZIdwndnQe+r5d7CXWDWoU3ImcOFEZeBG4AQMsLGwmng17ib75V60Z1C9FD+ATqvhihliAP8zwrjWtdjd3hQrflzaEYDeq1MQNTiumpUPwD/XFWF3Rs4+eJvDhcsi+s+Ko404cdvib1yfce5KmdecMhCAdzcU02SNnInN5ZJp8fLwBGtsVI6jM0ajV/bI/3qGqCuy7IeSiEuIrG9oQZIDGdS279XtFYLjkNQhJBjECZK/mZkPwFd7yiPOa1Ra14RZWYUHy3F31W6cspOsuCz3oXG/mjEAjSSOPY+0hMijVQ3EKRyb7F4FJYKot9ETiImGMEG2i9oDstaIVuN3LkOAG9vusrOnStRFH9dnHL+ZJSanL3eXc6ymudX1PY1PtpUQr9y8zS4/l3sIBhXg0il5GHQath+ri6i9/puOVHsmKNlfNAQvjADOG5dDRoKBsnoLX0RQIt2OY7UYlJ0FMmBxetXMCMKgenM8a0Qm+elx1FscfLg1cnIbDp1oRLY70QY0qMEJIxVT81MZkZ1Ii90ZUSK3ot5Cc4sVc7scWxsbNWdjXIaH4/DsRGYOSsfpkiNq0dJkdXCiril0jgHu1b4pZuaNEgLi9e+PdFGLQ4fN4eJYVSPxgXIatB0XW+sJxERDmKB6GjR6r0O22pmgDtYcxOK0kGhIJD8pnxHZSZwyJAOnS2bxN4e6o8lBo7Cyia/3Vbg9DY3eCUnQpiK2OW0+cXAV6QlGd0z8hZUHu6jVoeOrPWVuN6Fddvq5tVWOvl4Dl+xiZ6UoeOTN0ajTcsV0IQQXf12AK0ISsL7aU47J6zTSwKu31hNxIGGk0UhcPVt4G5Z8ezhiPCqf7SxFi+w2Nj4uX21owkiSJG6eMxiAV787QmOEeFS+3FOOHqfHrR1kAp3qafAvq3yt4jX657qiiMnD+d/eciTZ5U4SDFX8teJ4quD47y3HOB4hHpW1hypx2m2YlXklcD9GlocrJhrCBEkxpFqD15kDQa7ANUpy1u1zhwLwweajEeNtcLlk7lu2C4dLJteglJGWndi96xW0ofr3Vu/F7rK74+De+H9zBqPTSHx7sJItRTVdyiEYVDRY+GR7iXvwQnCTVGFdIY32Rsw6M0NShvi8ds3sgSQadewvb4gIb0Oj1cG/Nh/FgIzJFXzi1YnmE5Q3lyMhMTp9tM9rl0zpR0aCgaPVLXywuee9DRa7k39tOooOJ3GuQG7twPdqs72Zw3XicCPvVTjAT8blMigjntpmO/9c1/O5DS6XzBvfHxEcA7ruA/ej0+UMKOIBzhqZyZi+STTbnCz59nDXNT5IyLLM698X+nAMNt6venDHZIzxeX5qfhqzBqdjd8r89ZuCrml4iHj9+0IMkt0T+o3lNPx4ILk9DWbPk8G40DI8anhqfhqnDMnA4ZJ5/n+RsQJ/esV+viuoxKzXMjTJc5iKb+wt8M29t0pMUKPSR3lOjFSQlxbn9jY8+eW+Ht818vgX+7HYXWSYNG63djADeE+1mKCGpw5H530OB5Acp3fH/Z/73wEcPbwSf/5/B6httpNklDpw+fr1o2JoBiYPJE4f5/NanEHH/5sjxNKLXx/s8R0xS9YcpqTOQqLBwzGYVfiBmgO4ZBd9zH3oE9fH5zWtRuKWMwTHV9Yc6vF6Km9tKOLQiSbida42EugCL1aKGopocbRg1pnJT8r3eU2SJO44axggkgUr6nu21Pt/tpWw7WgtZo3HmxJMTkNlSyUVzeIU1hFprQ/iuv0ssTD71+ajFFX17IEU3+yrYPWBExhxuAVu4H6M5TREJSQlzq8zBBINrScZtVStvxpeOE8M3H9vPcb2o7Xhb2iQkGWZF1YedIdKHrlwDAkazwq10e5VnKmNiXhf9T4ARqaNDPgdt501BKNOw/rD1T1a//6DzUf5cOsxJAkGphlDMqj7qhSO6YE5XnPKQFLi9BysaOSt9T23Sl25t5xXvxOx3JFZcSG5fFXx1xbHy6f3JyfZRGmdhVd7cJW67lAVzynhron9EtswNu0Lo0CGBuCCCbkMyUygptnOcysPhLnlwWP70Voe/Vzcc5P7JXpW4UEUBVL7cVjqsIAnzZ41MpMJeSk025w8vnx/F7Q+OBwob+D+/+wC4NSBicQp4zGYhYo65+Qn57cSuADTB6Vz6tAM7E6ZP322twtaHxyOVjdz17/FwvHUQUnunIZgOPY0YqIhHHA60Cjb1PTGjnMamu3NFNYVAq0n4kn9U/nZxL7IMjz4ye4eiYXbHC7u/vcOnlkhJsd7zxnBxZP7gdMR+OZuY++76iZsy9j0S43jxtNE+ew/fbaXFlv3K+rlu8q49yORk3DbGUNI1EvuEEUwKxvV2LQljJLNen4/bzgAT684QGWjNeB1XYm1BZXc+s4PyLIw8H3idG0Ym85xNOm13HuOMLYvfl3A0eruD61tLa7hhjc343TJXDghl/4p+pCy7jsSRjqthgd+MgqAN9cV9UgG/oHyBq55YxMtdienD+vD8D4mT1Eg7xVqGxVaOxLxkiTx4E8Fxw+3HmNrcfeHDYuqmrjqtY00WBxMGZDKlLx4zyo8CI+Rux/b4Ajw4E9HodNIrNhTzqr93X8gWWldC795bSOVjTZG5iRxxpCUDsSfL8fypnLqbT13IF5MNIQDXomBRpOXum3HFSoj08fchwxzRquPu/ecEcQbtGw7Wsvr3byv+Gh1M5e9so4PthxDI8EffzqKm04XiWC4HO4iJB0pYrvLTkGtiBu2N4BvmjOYnGQTx2paeHz5vvCS6QD/XF/E/3t7C06XzM8n9eXOs4eBy+Fe2XQUC5dl2WNQ2zA2AL+c1p/RuUk0WBzcv2xXt4Zi/rujhKte9xiah84fDS6Hx9Ng7zjeH8xEfP74XGYNTsfqcPGHj3d2q9j9el85V/5jIw1WB9MGpvHoz8chOW2BDWobHFWDOiptVJvfc9qwPpw9KgunS+b3H2zv1sTPDYeruPhva6lqsjE6N4nFV0xC8rpXQzGoo9Lb5jixf6pYIAB3fbC9W8NNO47V8vO/rqWkzsKgPvEsuXIKWpc9pBoG6nhsj+OQzER+o2yJ/r+Pd1Fv6b5w08HyBi7661oOVzaRm2zijaunosfh5hiMp+G5rc8x+93ZvLXnre5qtg9ioiEccHhEQ1JCvOf5NmJSHblCs5JMLDpXTNCPL9/H/rLuWdUs++E45z7/LVuLa0k06njtqqlcpWTHA+Cyt+9G8yoKdLj2MHaXnURDIn0T+rb5nXEGHY9dJJKy3lhbyHcHu/68hmabg7v/vZ37l+3CJcNlU/N44iKl/oCXQe1oIj7eeJwGWwN6jZ7ByYPb/D6tRuKxn49Dp5H4YlcZH3ZDeWm708WfP9vDre/8gM3p4tyx2fz915PFEcpOW9AhmDprHSVNorz5iPTA9yuIVeojF47BqNPw7cFKXuuGbW0ulwihXbt0M41WB7MGp/PG1VNFGXeHtQPx5+Foc9o4WCvCGu2JP4BHLhhDkknHjmN1vPR11yfTuVwyS9Yc5opXN1CvrL7fvm66OELZZSfeFZyIl2XZnX/TEcf/O3ckmYlGDp1o4rEvul7Iy7LM2xuKuPjldW5R9N4NM0iNNyj9GLxXzO3dbEfgAtx59jD6p8VxvLaFP/5nd/jItINlPxzngsXfu0XRv26aSVaSKQiOgQVuXmJet7TbHzHREA44RNKQXdaSmhAop6ENN2E7g/eK6f05Y3gfbA4XN721hdrmrtsGVVZn4ea3tnDH+9tosDqYPCCVz28/lTnDM30vdDo8k5Sj/UnKe/D6J0H64/RhffiVUvDptne3dql7e9fxOs5/6Xv+tVnkMNw1fziP/nwsOq0yFJz2NtzarTmq4m9IyhD0Wk+SaCCM7ZcsPBnA/ct2dWlZ4sMnGvnF39ex5FthuK87ZSAv/nISJrW8ucMStMtX5dgvoR9JhqR2v3dwnwQeUNzbjy/f16U1OIqrmvnlkvU8s+IAsiyKML1x9TRPYTWHtf1tbF67fwpqC3C4HCQZksiJz2n3e7OTTTxyochDeuHrg6zswrLEFfUWrntzM3/+fC8Ol8xPxuXw1nXTSYkzuDm0nwjpMTbBClyA1HgDj1/sEfL/2dZ1IremycZt7/7A/328C5vDxZkjMnnvhhlkJiphXqe1g1W4h2OdtY7jjaKt7QlcgASjjmcvHY9Ggo9+ON6lNTjqLXbu/vd27nh/G802JzMGpfHhTbPol6p4pZ02T52GDrwpVqeVI3ViXA9PG95lbW4PMdEQDiieBit6UtUBDScVd5MkiScvGU/fFDNHKpu4+a2tYXcVOl0yS9cWMveZ1XyxqwytRuL2s4by/g0zyEtrnUSEy7M1qMkWqHKZh6cqjNrypvjj/84dxdi+ydQ027l26SZqwrxXvNnm4C+f7+WCxd9TUNFIZqKRd66bwS1nDPEVNfaWwEmC7rwNL4MahLvXGzedPphTh2bQYndy3dLNYa++Z3O4eHHlQRY8/y0/FNeSZNLxyq8nc99PRnkKjgE4LG14Glr3Y0exfn9cPq0/543Nwe6Uuf7NzRw6Ed7TTB1OF0vXFrLg+TVsOFJNnEHLExeP45ELx2DQeU1njo4KHwXm2JHABbhgQl9+Oa0/sgy/ffeHsAtAl0vmnQ3FnPXMar7eV4FBp+FPF47hxV9O9Ag/hUOwWy5V8Tc0dWiHAhfgjOGZ3Hi6yDe66987wl7eXpZlPv7hGGc9s5r/7ihFp5H4w7kjePXKKSSavNrnsAXN0XsF3pHABZg8II3fzxeG94+f7uGbLshvWL6rjLOfWe1epNx+1lDevk7xoqhw2oIOwRTUFuCUnaQYU8iKywp7e4NBTDSEA16iIc37ZtC0ruhld9rdrtCODGpGgpFXfzOFeIOWdYeruP7NzWFJFpRlma/3lXPu89/y4Ce7abQ6mJCXwqe3nsKdZw/zrLr94WzLHdp6ZRNMrN8bZoOWJVdOITPRyIHyRn65ZD1VYUgadLlkPtlewtnPrOGVNYdxumTOG5vDF7efyszB6a3f4G1sOoj3d5Qg6A+tRmLxFZMYmplAWb2FX/x9HcVVJ+9VkWWZlXvLOfeFb3l6xQFsDhenD+vD57efyrzR2a3f0KHrvvMcJUniqUvGMz4vhdpmO798ZX3YwmvfF1Ry3gvf8eAnu2m2OZk2MI3lt5/GL6YEcNM6Oqrn35pje/kM/njo/NHMGJRGk83J5UvWs+NYbch8AmFLUTWX/H0df/h4Jw0WB2P7JvOfW2bzqxkDWgsab09DRx6jIBYq/rh7/gjmjszC5nBx1esbWXeoqnOk/LDreB2/+scG7nx/O9VNNoZnJfLBTTO54bTBaDT+HK1Br8JDXagA3Hz6YH4+sS9Ol8yNb24Jm+foQHkD176xiZve2kJ5vZX89DjevX4Gd549zFfAAzisnlwxHw9ua/uxv1rsahmeNjwogdsViImGcEAJT9haiYbWK7dDdYdwuBwdxvpVjMxJ4tXfTCXOoOXbg5Vc/PLaThsaWZZZtb+CS19ZzzVvbGZ/eQPJZj0PXzCaD2+exajcDtS5wxpUDFWWZfeBMSNSgx/A2ckm3rl+OhkJRvaVNXD+S9+z81jnVnEul8z/9pTzkxe/47fv/sDx2hb6pph5/aqpLL5iEukJxsBvdLS0PxF75W0cqBYcQ3ETJpn0LL1mGvnpcRyraeFnf/2ebw+eCI2cAlmWWXuokktfWc+1SzdTUNFIWryB5y+bwBtXT/W4P/1ht3hc9x1MxAdrhMANhaPZoOUfv5nCiOxEKhqsXPLyWr46iS21G49Uc+VrG7ni1Q0+9+x718+gf3obHB3WoMNMKsehqUODbpNBp2HJlVOYPCCVeouDS/++nmU/dN6Nv+t4Hdct3cxFf1vHlqIa4gxaHvjJKJbdMpuROW2MS5c96MJH6kJlWOqwoNuk1Ui8+MuJnDo0g2abk9+8tpG31nf+JN4D5Q3c9u4P/OTF7/i+oAqDTsNd84fz6W2nMLF/auA3eXkaOsrbUPsxFI6SJPHYReNYMDobm9PFDf/cwt9XH+o0xyOVTdz1wXYWPLeGlfsq0GkkbjljMMvvOI0ZgwIsUiCIMFMA0ZDaM6EJAF3Hl8TQEWSHBQmwynpyU9ov7uSt+INVijMHp/PPa6dx/Ztb2F1SzznPr+G3Zw3lN7Pyfd2VbaC6ycZnO0t5a10R+5WtYgadhqtn5/P/Th9CclzH7kpkGezNJLjEte3FF0ubSmmyN6HT6BiQPCAojiqGZCby/o0zuOaNTRRVNfOzv37PtacM5P/NCa6d1U02Pt1ewtK1hRyuFG1MNOq44bRBXHvqQE/Muy3YLZhlYYjaMzZ11joqWoQ7078SZEfITTHzrxtncvUbm9hdUs+Vr23k0il5LJw3zBPLbQf1FjvLd5WxdG0hu0vE1iujTsPVswdy8+mDO/5/clgwazp23duddvfW4KEpwRtUEF6y92+YybVLN7G5qIYb/rmFn03sy+/nD6ev9xhpA802B5/vLOPdjcXuiqFajcSvpvfnjrnDfN27bXAMpk6DLMvuXT6hiAaAREUA3vzWFr49WMkd72/j852l/N95IxmQHt/h+y12Jyv3VrB0XaHb/a+R4BdT8rhj7jCykzu4F9r0NLQ2NgU1neOoegDveG8by3eXcd+yXXy5u4z7fzKKYVmJHb7f6nCyev8J/rm+iG+VJGdJggvG5/K7ecMDh0G94ZXT0FGSoLsfQ7xXDToNL14+kXs/3MmHW4/x6Bf7WLm3ggd+OooxfZM7fL/d6eK7gkreXl/Myn3lqHpjwehsfj9/OEMyE9r/AKdH4AYUf15H1R+qFXVzQu3HcCImGsKA5oZ64oFmTAwMJBq8kq46o/hBxN8+++0p/PbdH9hUWMOjX+zj5dWHuHBiX04b1odhWYn0STAiSVDVaKOoqomtxbWsO1zF2oJKHMrAizNouWxqf647daCvwOkIDisgu1V/e8Wd1MGbn5TvPi0wFAzuk8Ant57CPf/ewfLdZfx9zWHeXFfET8blcMaITEZkJ5KZZEIjCZFQXN3MD8W1rD9cxdpDVTgVrokmHZdP78+Npw329QC1BZdLmaTE/0t7Kxt18GbHZ7tPCwwFmUkmPrx5Fg99uod3Nxbz3iZRYGrBmBzOHNGHMbnJZCeb0GokGiwOiqqa2XGslnWHqvi2oBKbQ/SDSa/hksl53DxncPD96bASp+vY2BTVF+GQHcTr492nBYaC5Dg971w/g6e+2s8raw7z8Q/H+XR7CWeOyOTsUVmMz0shK8mETiPRZBMcdx+v4/tD4p5tUkJxBq2Gi6f046bTBrftWfCH0xr47Am/fjzRcoJ6Wz0aScPA5IH+n9IhEow63rh6Gs+vPMjibwr4ak85K/aWc8bwTOaNymJcvxT6ppoxaDU0WO0cq2lh9/E61h+pZtW+CjdHnUbi3LE5/PasIQzJ7NgYA2BvaaOSoK+Ib7Y3uxMEB6e0nwQZCCa9lr/9ahKvrDnM018d4NuDlcx7dg2nDs1g3uhsJualkJcah0Gnocnm4FhNC3tK6tl4pIqv91VQrxzFrpFg3qhsbjtrCKNzOzbGgJLQ2nEIxiW73GOyMxz1Wg1PXTKOif1T+NNne9hYWM1PXvyOaQPTOHdMNpMGpJKXGodRr8Fid3Gsppl9pQ2sP1LFN/sqqPGqEnrmiExuOWMIkwe04T3xh3cipKMZWZbFgrIdj1GoC5VwolOiYfHixTz55JOUlZUxfvx4XnzxRaZNmxbw2iVLlvDmm2+ya5eo8DV58mT+8pe/+Fx/1VVXsXTpUp/3zZ8/n+XLl3emed2Oqpoq4gGrxiy2e6kI0Onqjd2ZTs9JNvP+DTP56IfjPLviAMdrW3j9+0Je/76ww/eOykniZxP78ospecF5FvyhTEqB44u+xqazit8byWY9L/96Miv3lvPkl/vZV9bAB1uO8cGWjs83GNM3iYsn9ePiKXlia1qwUOptJAasehmY48kMXpNey6M/H8vPJvblsS/2srW4lk+3l/Dp9pIO3zskM4GfT+rLL6f273jV7Q+HhfggPEYFdYLj4JTBnY6fGnQa/nDuSM4bm8NjX+xj3eEqvtpTzld7Oo4d56fHcfHkflwyJU9sTQsFXtvYfOPEvitUtR/7J/bHqG0jZNUBtBqJhWcP4yfjcvjL53tZtf8EX++r4Ot9HSfW9U0xc8GEXH49cwA5ySGIeAB7c1DVEo/UHUFGJs2URpopLbTvUCBJEjeePpj5o7N59Iu9fLWnnG8PVrq9B+0hK8nI+eNz+fWM/OBFnwqnzR3vb0/8HW84jsVpwaAxdHoroiRJ/GrGAOYM78OTX+7nvztK2XikOqgk0PR4Az8Zl8OvZ+Z37Fnwh8PmFn9O2YnNZRP3oh/HGksN1RbRlkHJg0L7jjAiZNHw/vvvs3DhQl5++WWmT5/Oc889x/z589m/fz+ZmZmtrl+1ahW//OUvmTVrFiaTiccff5x58+axe/du+vb1xPQXLFjA66+/7v7baOzcAO4JVFZV0R+Q/Vec7bgJh6R2zthoNBIXT+7Hzyb25et9FfxvTzmbCqs5WtOMXTnyWKuRyE4yMTo3iemD0jl9WEbwq5e2oCQFJsjCePhMxJLvRHwyit8fZ43M4swRmWw4Us1Xu8tZf7iKwqommpUVml4rkZtiZmR2ElMHpnHG8D4M6hP6yh/wcFQGcIPNK4HP36CGQTSomDYwjY/+32x2HqvjvztLWH+oiiOVTe4VmlYj0TfFzJDMBKYPTOPUoX0YmZPYOUOueFMSXaLPfCrL+XuMasLHcXxeCu/eMIMD5Q0s++E46w9XUVDR6OYoScKADu6TwPRBaZw6pA9j+iZ1PtnLYSFJUsSfrR2vWCfd9oEwLCuRN66eRkFFI//dUcL3BZUcOtHkPjVSI0F2kolBfRLEOTNDM5jUP6XzHO3N7nu1PdGgrk5PRsSryM+I5++/nkJxVTOf7ijh24MnKKhopLJRcJQkyEo0MTAjnqkD05g9OJ0p+Wmtk/+ChaOjLZe+HAenDA5YIjsU9EuN4/nLJnLvOSP4ZFsJ3x6sZH95AycaPInZmYlG8jPimZqfysxBGcwYlNZ2AnlHcHoSk0Hw9BUNvnNO34S+AUtkdxdCFg3PPPMM119/PVdffTUAL7/8Mp999hmvvfYa9957b6vr3377bZ+/X331VT788ENWrlzJlVde6X7eaDSSnR26CzQSUF0j1J/O7Jew5Nfp3nHwjvZKdwStRuLsUVmcPUpsu3G6ZBqVCTjeqO38DdwWFIMap4Qb2puI1YSkcLnQJElixqB0dyKRLMtY7C5csoxZr22dcd1ZKAmticr4DSwawudp8MfYfsmM7edx27Z4CaOw9afiTUlqVxh1HcdhWYncvcCTHNticyIjY9BqwnvPOqwkagNw1PpmpB+qC5/AVTEkM4E75g7jjrkiBGmxO3HJMnqtRhTXChdszSQqBtW3H/28Yie5UAmE/ulx3HLGEPdBXipHnUbju/X1ZOG0eTx/tkYv131gj1E479WcZDM3nj6YG5WKuFaHE6dLRquRMOpOTpj4wGlHC5gkHRbZQbO9WXiE/PrxZLzU4URIvWuz2diyZQtz5871fIBGw9y5c1m3bl1Qn9Hc3IzdbictzddNtmrVKjIzMxk+fDg333wzVVVtb++xWq3U19f7/PQk6utEopYpwS9O10YcPCc+p1Nx8Pag1Ugkx+lJjtOHXzCAOzyRoBGu8LZ2FjhdTnfxkXBOUt6QJAmzQUu8URc+wQBuYZSkCKP2DGp3DGCzQYvZEGYBqAojV8er8HB6jNqC2aAlzqALL0dZBoelDYPqe4hcOL0pbcGkFxzDKhgA7C3ufqy31Xsy/rvQK9YWVI5hFQwADqtb4DpkhyeptS2vWBfNOQBGneAYVsEA7rk1TitCcG6PShsivivHYzAIqYcrKytxOp1kZfkWlcjKyqKsLLgtVffccw+5ubk+wmPBggW8+eabrFy5kscff5zVq1dzzjnn4HQGrknw6KOPkpyc7P7Jy+uZcpoqmuprAUhITPF9IUI7vVNQDGq8Evf1NTYeRXy8UcQWjVoj/RL6dXcrTw5KvY0ESfGm+OQ0eIo7VbVUUW2pRkLqVPJcj0LhGNib4ulHq9NKcUMxEB63drdCSTxO9PKmeAyqZ4Xqs3Oit3GUZbA3uTk6ZWebBjUSkuc6DXszZllGJ/mF06KJo1XMM3E6IRraFEbdIP6CQbfunnjsscd47733WLVqFSaTJ7Hpsssuc/8+duxYxo0bx+DBg1m1ahVnnXVWq89ZtGgRCxcudP9dX1/fY8KhrM6CbG0AHWSk++3D7YIEwR6DmgipNQHNbR7Fq3IcmDzwpGOL3Q5lsCYq3pS2chrUFXhPxxY7BTVvQyPEn2pQfbO1hbfIJbtINiYHPFQtoqHcq4l+K9Q4fZzPRFzaVEqzoxm9Rk9eUs8uPEKGwwqyCzOg0+hwuBzU2+pbcay31VPRrIREe+NixdqABCTpE6i21VFvqxc7ebw4nszW4IiAVcwz8Toxl7T2NAiB2yvDExkZGWi1WsrLfTOfy8vLO8xHeOqpp3jsscf46quvGDduXLvXDho0iIyMDAoKAh8IYzQaSUpK8vnpKWwpqiFeEhOxIc6vHe74afgTBLsdqqdBJzK82/I0RMqN3SnYhes+SfGmBHb5OjyKvwtdoV0Gpfy3yrEtl6+alzI4ufM7J3oMVrEaNWuN6CTByS0AA/RjfnLntgb3KBRhJAyqSHIOtAr33hqcaDjJZOjuhssJyjyjtr3eqnL0eIxOdmtwj0PhGKcXtT3cCzKtpx+rLFXUWms7vTU4nAhJNBgMBiZPnszKlSvdz7lcLlauXMnMmTPbfN8TTzzBI488wvLly5kyZUqH33Ps2DGqqqrIyWn/8JhIwJaiGlJQlKEpxfdF//hpFBibeL0QDTaXDbvCy1sRe2cx9zpYRPXJBGWCcihueiCgN6VXCiOFo9mUjFZx+XoMamvx15NFZDoNhaNkSnYbm0CiIdwJu90KdfuhRk+iUSxWWvWj7PKIv944Hr0WJklGkS8WUPypW4N7o8CVZbenIU7JcwuU06DOOf0S+mHShbj9OMwIOWtl4cKFLFmyhKVLl7J3715uvvlmmpqa3LsprrzyShYtWuS+/vHHH+f+++/ntddeIz8/n7KyMsrKymhsFDdEY2Mjd911F+vXr6ewsJCVK1dywQUXMGTIEObPnx8mml0Du8vO8pLXebFfNa8mJyHH+YcnPJ1ebal2x8F7co9tp9Eikj3jTB6O7n3TXjwP1x4GeulEbKkFIM6UikY5oKo9g9or+9FtUFMDGFQPx8N1oh97J0dlNWpM8nC0+3P0JOz2So42Zezp49yHMwUyqIX1hUAv5agYU7QGkowpQGBvSlFdEUCPr8A7BVsToBbeE/dqINEQSV7qkHMaLr30Uk6cOMEDDzxAWVkZEyZMYPny5e7kyOLiYjQajxb529/+hs1m4+KLL/b5nAcffJA//vGPaLVaduzYwdKlS6mtrSU3N5d58+bxyCOPRHStBlmWufPru2kw/Y8G4HlTClkNB/mp90Vek7Aac8uJz8GsC7GISyRAEQ36+HSMDiNWp5VGeyPJxmQ3T5fTTlF9Lx7ALbUAaMypJDhEpcAGWwN94vr4eBpUjr1yIlaEEaZkEg0Waq21Xga1Ncf85Pxub+JJQxFGeHkaPG5tL2MTDRzNXhwDGVSVY1J+NzcwDFBFgzExOI69sR9VjpKGJJOoINmKo+x0249ImHM6lQh56623cuuttwZ8bdWqVT5/FxYWtvtZZrOZL7/8sjPN6FF8dPAjVh//H7KsZZqlhU1mAx+UreWn3Om5KMAkPCAptLMYIgYtSlU0cyrxzfFYnVaPIlbc3BWOJixOCzpJR25Cbg819CTgnohTSLWnUm+rp8YqxJLalw1OC1UWsR24f1L/nmjlycHLoCYbjBzlKLWqkFA4Opx2986J3mlslEnXlBTA2HjqNPRqg9qsbEk3pwUljHrlvOP2GCW2403p5XOrGoIxJLqrddZY1DnHk0hepHiMIoFj7JTLTqDZ3swLP7wAgLNiLn85IU4p3Fazv829/YUR1OmdQrMqGtKIVxJ2/N1oRXYxyPsl9ut9iWXgswpPNQrVr5ZtVTkWO8QgTzel977EMvARDanKysZfGJW6LDhcDgwaQ+9MLFM5GpPcHP37sc5lc/Pun9gLxZ8qGuLSSVFc97XWWvGcYmzsLifHG8SZE71y3rF6REOyktPgz1F2OThSL8JMvZKj4sH1Ho/+Ih6IKGEUEw2dwNt73xaTkD2dlOpRZDudZDpEZTs1Fgz4iIbiemXl1htdaODxNMSlkaAXCTv+qr/IKQxqr1yBgzs8gSnFY1Atvga10CliyZEweDsFN8dk98rG36AWymI3Rf+k/u7cjl4FdSI2p5Cu5OB4OApjUyiLssdZcVm9b9sseI3H9AAcRT+W4MAhOzDrzGTGtS7xH/FoVHbpxWe2ea/W4nTPQ509c6JHoXJMzHKLv2qrL0erBKVNog5SJMw7vXBG6FnYnXbe2fcOAC0VcxlhFjfsIFlMRmoiIBDQ09ArVzUAjcrhO3EZpJnFAK5qUVY76kSsrMIj4cbuFJoUjvEZASYpwbHIJURDrxV/jUoRtoSsdjgKg9or3fYADaXiMTGnTWNThNj502s5enkaVI6e8ahw1Ig6Ff0Te6n4a1Du1cTstvtRK3ZLZMdn985cMXVe9RJG/guVozo9MjKJ+sROHzgWTvTCO6lnsfLoSipbKjFKyTjqxzKvryjclK8TrmpVHACeBEGXk6MNR8V1vXWSqhPtJyXPvbJRY/tu172yCu+1HOuV0yWT+rb2NCh5G4UusQWz1wojN8fcNiepQoRo6L0cOxYNhZKondJrObqNTbpbxLfiqBFZ+b3W86dyTMgk3azMOX7CqFAp6dzr+zEhs83wRJFePA5IGhARW0pjoiFE/PvAvwFw1E0HdExLE3H9vsrkVNpY6rlY6fRy2Y7VaUUn6chJiPzaE61gbfC4fJPz3BUC/T0NRb3ddV8n4r8k9W17ZSOLAlC9lqOXaGgr3u9ehfdWb0qDwtFbNLT4cVROwOy1/Vgrwp2kDGjbY6SswnutiHd7xQJ5GhSOikHttRxVr5i3589aLYrKSRJIWgoVjpEi/mKiIQRUtlSyqWwTAHUVE0g06ciXhaHJUSafkqYSzxv8FH+/xH7ovJJbeg3UCcqUDKYkj6fBS/U7gGNyL16FW+pAzdFIDuBp0OiQgSJlFT4wqRduKXU6PJNUO56GImUV3isnYlmGumPi96Rc9yrcP9lTHZO9VhjVisS4wKLB13XfK8cjQLVIcCQlz+1pqLXWiqJy7lW4SLjuvRyVcHZqvjunweFyeM690ejcHCNlPMZEQwj4qvArXLKLNO0QZHsaZ4/KQlu5D4C+fcYA/p4G0dnFyv9ypHR6yCjfIx77iCONVU9DpaVSPK/RUaLT4UDGpDX1zqSrEwfEY0IWGOLdwqiyReWopUqroQkZjaShX2IvO4wLxATlcoA+DhJzA+amtEgSpb15Fd5UqXjFJEgf7BPvl2UZNFpcQLFWiIZeydFh9XjFUvq7DWqjvVFUMFUNam923btcUKUcI5AxjGRDsjsvo8ZS455bi3Qe132vRJUo2kT6EEw6k3tHlnpeiBANkcUxJhpCwJeFop5EY7UQCOeOzoIT+wHIyZ0KwImWE9idanllJQ6ubLeNFPdSyCjbIR6zxwIEDE94u9B6ZdJVhSKMMkcBkBUvipWVNSsuUo2OQkXx58bnYtAaur2JJ40Te8Vjn+Gg0ZAVJzhWWirdq7diZRJOMiS5Vz69CirH1HzQm933qsVpEbUatHoqtFosktR764lU7AXZKcrWJ2aTqE/EoByydqL5BGh0tEgSZYpo6JWLlfpjolS2Rgep+Wg1Wvc26MqWStDohPjrzeEJS50nlJYuKj2qW5zLm5RdFRodRTrFm5IcEw29ClUtVWyt2ApAdcVI4g1aTk2vEycjao2kZU/ApDUhI1PW5DE0AMXKGfORohRDxpE14rGvODckI05MxL5quJe7CUt+EI9ZowHIjhODt8neJLZ0aXSeVU2EDN6QcWyzeMwSojfNlIZeo8clu9zGxjtGHAlJVyHj6EbxqAhcs87sNjZlTWWK+BMce209kdJt4jFnHEgSkiS5jU1pU6mP+Es2JJPifyZOb4B6r2aOch/858tRK8SfRoNO0vZO8Xd8i3hMGQBxwiOmCvnyZiEaGrRaqlSPUWJkzDsx0RAk1pasBSBVNxDZkcxZI7MwligTVN/JSFqd+6Y+3qS4Dt1uwl4sGhpPeCapwWcCohQ2CHdonbUOJG3EudBCRuF34nHALADivGr6q8Ym0mKLIePIavE48DQANJLH2+DPsdf2oypwFY6AO/lYNai9nuOhr8Vj3gz3U74cvcdjL6xdAJ7xmDfN/ZQqDEobS0GSKDSIYwb6xef0zlyxI9+KRy+OPuMRKFbu1XRDMgnKgVY9jZhoCBLfl3wPQHOtcCOdOzYbioSQUA2Nz00NoDNiB4735rjbjvfEY84ESBQ3tFlndseKjzceB62+d4uG8t1QdVDESQfMdj+tikD/FWqvrLVRXwKlSpipTYPqCTP1yn5sqYHi9eL3/FPdT6si159jrxR/Disc+kb8PsxzoF9uvJh7ShpLfIVRQi8UDS4X7Puv+H3YAvfTbo5KsnmRQYRk8hP6dm/7woUAHNWwqOppcHs34yKnMmtMNAQBl+xi7XEhEGoqB2PWazl9SDoU/E9cMFBMUOrk5N5BoTOJBEFJwtwbEwRtzbD+ZfH7lGt8XuqXIBIBSxpLQGfq3avwH94Sj8PmgznF/XRrY6Nw7I0Z9z+8BcjQfxYkeiYgNQzjvwrvlRx3/AucVsgcLfI2FPj2o5dB7Y1hpt0fi/LKibmQO8n9tMrR4zFSjE1vTNgtWCEqJRqTYeDp7qfdAldZlKnjcUBcL9zGXrweKg+A1gBDz3Y/rfbj8UbhrVaTWfMVD0QkICYagsCeqj3UWGvQS2acLf05Y0QfzKUboOmESEZSVqd9FcVb0ugRDergzUvI7X0Jgv97UCQkJefBuF/4vKRyPd54nBaNltLe6k2pLYbNr4nfJ1/t85JalraovgiH1sBRpS973XbL5mpYt1j87i/+FKNSXF/cKqehV8HaCN89K36fcrXY465A9QAerT/qZ1B72b1qt8Dqx8XvU68Br9OEVY7HGo75JO0OiO9lsX6nA775i/h98pWg8yQcq54G1aC6PX8RtAoPCrIMX/9J/D7+MrGVXYE67tRj24/olG2zpj7d2sT20MusWM9gXck6AKSWoYCWc8bkwNal4sWRP3Un6vi4egE0GoqMorTpgPhepIZlGb59Bja+Iv4+72nQ+5ZoVY1NYX0hRXZxQFCKC3d9g14BhxU+vgkcFrECH3KWz8vq2fWH6g5R4mzEIUmYZNntQuwVcLngP7eIw7gyR8OYn/u8PChFHLV7qPYQtS4btVqxsulVdfxlGT77nahBkdIfJl3p87LajwW1BdiRPeHC3sZxxf1i22xiDky70edl9cjkg7UHkSUNhxXRMKi3hdLWPCFyqIzJMPM2n5cGJguxfqTuCE6XkyPKKnxQb5pbAdb/FQq/BZ0ZTlno85LKsby5nCZ7E0eUnXeDzJEz58REQxDYUi6yXOtrB2DQaTiznwt2LxMvTr3WfZ1PXFFBkZKsMyCCOr1dWBvgk9tg5UPi7zPv84mdqhiWOgyA/dX7OaIUzhno6rZWnjxszfDva6Doe9DHwwUv+axOwWNsDtceplA9EdHh6j0eI6cdPrkV9n8u3KA/+5vPcbsAQ5KHAEIYFSplwbMcDuJ6Sx1/lxOW3ytybyQNXPgy6Iw+lwxNGQpAcUMxh5tKcUoSZpeLTENyoE+MPMiyWH27RfwzYEryuWRwymAkJKot1RyoPUiDVoNGlsnvLatwWYa1L3k8Kec+4c6hUpGXmIdJa8LitHCg5gDHlQTzQb2FI8DWN+HL/xO/z/0jpPl6LZONnoPkDtcedhchG6hsHY4E9MKU0+6F0+Vk24lt4vfmgZw1rA/x3z8BLrvIXs6d6L5WddmXNZVhc9owaA2exDKlWFDEQpZFYs6X/6dUm5Ng3iMw67aAl49IE4WeDtQc4GCSMK4D7Y7uau3J4cR+IRjKdwljetlb7n3S3lBXb6VNpexUj9+127u1qZ1GbTF8eB0c3SDOzfjZy5AzvtVlA5IGoNPoaLI38X2VSJTMtzvAaWtlfCMODWXw8Y1weJX4+yfPQv7sVpdlmDNINiZTZ61jhZLQPMDuQLI3gyHCT7hsPAGf3Ql7PxV/n/0IjDi31WVx+jj6JfbjaMNRlhcuB6C/3YHB5ezO1nYOLbVC+G1/V/x92l3Cbe8HrUbLkJQh7KraxVdFXwGQ6nSSpovwPgQRPvvfg7DpVfH31Oth+o0BLx2cMpjqsmq+OfoNFgl0skzfCBK4vWTJ1HM4UHOAJnsTksuEy5rNL/Nq4Id/ihfn/tHn2sy4TJKNyThlJwdrDwJwWFXDxshRij6QZTHpvrYA3v+VEAzJefCbT9sUDCCKOMXp4rA6rfznuNjmNtRm66ZGdxKWOljxAPxtlhAM8X3g1x+7t5L6I9mY7N4psbTgIwBGWixidRupsLfA6ifhpWlCMBiT4dK3YMxFAS/Xa/WMSBUC8I19YtIeZbWBranbmhwyHFaxKn1xirh39XHw8yUw+aqAl0uSxKg0UbRr6Z43ARgd6RyddpFrs3iqEAwaHfz0eZj92zbfMjJtJABv730bgMF2e2RzdDlh27uweJoQDJJGiKIz/q/Nt4xIF/eqynGIzS7Ci5EKlwt2fQR/neERDKffA+c80cqzqWJy1mQA/rHrHwAMttnRyd3S2qAQ8zR0ALWgk725P4laB6fv+gPILhh1IQyY6XOtJEmMSBvBhtIN7KvaR//E/pxQZNlAQ0r3NrwjOO0ixLL2BU/FR50ZZt0Ks37byv3pD42kYUr2FNYcW0OFcv775KYInaCaq2HDy+LHIvIvGHYO/OQZSGo/UWxazjSKG4ppcYqJaZLFKgyzMTL2TLthbRBGZu1LniO++8+CC//aygXqj2k509hVtQuLwnGCVeEYabC3CPfu989DvVILJXeS4Jg5st23Ts+ZzrrSdW6O463WyDSoDivs/ABWP+E5XyJ7LJz/EuROaPetM3Nn8lXRV7Q4RN9NtVgik6PTAXuWiVBEpVK+PX0onP+Ce/t6W5iZM5N/H/i3L0drYxc3uBNwOWH/F7DqUbFAAUjuDz99FobMbfet07On8/L2l3HJIt471WIR1TEjBDHR0AG2lgvRIDXn8V7i82irDkBCtogrBsDItJFsKN3A7qrdDEkV8eI+DgeJREh1veojYvvdtrc9hxfp42Dir0RSTlLwSUXnDjyXNceEl6G/3c5wa4sYLH5x8x5D2U7Y9A+xFc+uTJ59RggP0fBzgvqICwZf4D7ZNNfuEMYmkkRDZQFseV30qXqkbnKe4DjmojZXM964YPAFvLZL7CBJdbqY1RJZkxQ1hbBlqRAMzcpZIIk5MGcRTPy1zy6CtnDeoPN46YeXcMgOzDKc1dwcWRzrS4Xo2/KGR/TFZ8KpvxN5U9qOK1fO7T+XJzY9QYujBb0MZza1eA5hiwQ0VQp+m1/ziD5zKsy+HabfDHpThx9xSt9TSDOlUW2pRpJhXlNzZHFsqRVjceMrHtFnTIKZt8DMW4OaN8Znjic3Pte9dX9BU7PYZhshiImGdiDLMj9UiPLCd9vWMtq+HwwJ8Is3IT5wjsLEzIm8sfsN1peuZ0iKEA1DbfaeXblZG4Xq/eGfnqqAINzz024Uk5JSxjQUnDPwHNaWrGVb+VbuO7hFxLp62qBa6oQ7d8sbcGyT5/msMSJWOvL8oIyMigmZE7h32r18Xfw1N+34SgwYRw+vwm3NcOALwVGtgAiQNlgYmXG/CMrIqBiUMog/zvwjHxV8xI0FWzHJcs+vUB1WOLhCcCz4H6D4Z5P7wyl3wIQrgjIyKrLjs3n01Ed5a+9b/OroPpJcMth6eIXqsImaBNvfE8mqLiUnKDEHZtws4t4h5FykmFL48yl/5q09b3FR2RFynMU9vwp3OuDwN4Lj3k9FHQ2AuAwR059+U4deTW/E6eP48yl/ZsmOJSyoLGGwvVh42XoSLqcYhzvehz3/8YhRU4rY4jzrtpDmV71Gz19O/QsvbH2BU2tPMN5aDJaYaOgVqGiu4ETLCTQyXOo4gKyPR/rVh9B/epvvmZY9DZ2k42jDUT48+CEAE63W7o+72Zrg4FeiGMyBr7wMnQSDzxDb0oafe1LJbhpJw59P+bOI2z2sbLV0WLpfNNhb4MBy2PlvYWjUiUmjE1tip1wL+acEteoOhCtGXsEVI6+Abfme7+tuOGyifPCuD4WBcRs8CYbOE5PT0LM77eW5aNhFXDTsInhBSeztCY5OBxSugZ0fCgNjrfO8NugMwXH4OSEJIm8sGLiABQMXwBJla62tBzwNLqc4H2PnB7D7I+VETgX9Z8K0G3y2cYeKsweczdkDzoa3LhZP9IT4c7nEWS47P4Bd/xb1bFTkThRCYfTPOj33nNL3FE7pewr8+1pgY8+IBlmG0u2iD3d84Dl4CsR5GdNvhLG/6HSi7eSsySw9Zyn8dyHwfczT0Fuw+4SI9Q+22wAT0q8/gv4z2n1PgiGB6TnT+b7kew7UiHjdqc0t3TN460uE0SxYAQUrfd2vqQPFCnTCFZAa5qI2Gg1ojcJYd5exaawQoujAl8KYeq8aM4YLrhN/3Wrb1klBHycm+e5yazdXi348+KXoVzX8AKIewbhLhfhLCeNefH28eLR3k7Gx1ImyyAe+FP2phh9AVD0ce7FIcAywu6XTUCfy7jKotmax2t7/Oexf7ssxIVtwHH+Z+5CtsMCg9GN3eVPsFlF7YN9nwqvZWOZ5LS4dxlwM4y8VOSjhOgjNKI6R7jbR4LSLLdr7PoN9n4vCdypMyTD656If86aHj6PqhYl5GnoH9mwXBZyGWZ2snvZ3FnQgGFRcO/Za1pWuwyW7mK5PY7St2JM/EE601IpVS9F3wrioCTcqUgYIRT/6Z2K7XVeeWmhKEiuKlhpI6YKiOdZGOLZRnPdRsBJKtvq+ntxfFC4ae7EIRXQFV32cpy1dAXuLOPmuaK0QQkc3iKRbFQlZoi/HXAz9pnQRR6U+Q1etwh1WsQot+l6IheJ1Hrc8gDkNRl8oOPafGVIoKWioB/90lTByOkSBoiOrxaFExet8PY3GZOExGfcLGDSna3KAVG9fV4kGl1MkUB/5Vrjmi9b6/n8aEkR9l3GXit1JnfSctIuuFg0ulzhq/fBqhaPfil8fJwrCjf2F4NoVW5TVapGWuvav60bERENbcLnYXf4DGDUcbpnE705Z0PF7FEzNnsrfz/47e6v2cnHVCTiwDeqOdfi+dmG3iBu4bJdwixWvEwct4b0XR4K+k4Wbeug84QrsruONk/OEaKgtEkf2ngycdpFVXbZTHLJ0dD2UbAPZb6tj7kQYOh+GzQvvCqYtJPcVB1vVFp/8Z7mcUHVITLyl20X+xfEtoj6CNzJHiQlp6HxxGl5XJ5kmKOej1Je0f10wcLmg5ojgV7ZDHHd8bFPrUF36UMFx2HwhFLrCwHhDnYibKtu/LhjIMtQdFUJI/Tm2pXVyXnJ/IRRGnCvKznc1R4NiUFtqT/6zZFkselR+x7fC8c2tDVlijuA4/DxxHk9X1/kwKqvwcLnuGys8/Eq2ivHYXOV7TVyG0o/nCcHnVyk37Ag3xzCgU6Jh8eLFPPnkk5SVlTF+/HhefPFFpk2b1ub1H3zwAffffz+FhYUMHTqUxx9/nHPP9RQokWWZBx98kCVLllBbW8vs2bP529/+xtChQzvTvLBArilkr1YYZFvSufRJDG0AzMiZwYycGSLODlB7tP03uJxild5UKQRGzRFhgGsKRYZ85YHWRhMgbZCYaAfNgcFntZmg2eVIHSAGWk1Rx9e6XIJrc6Uo0FNTKPhWHxFlck/s9+QleCOlv5hw808R25a8Dl7qFqQNEnUBqg93fK0si3BCU6U4fKemUPyoHCv2Bk6oTMgWBYoGzBbiL5yhh2CQoYw5dStce5BlMZm5ORZ5+rHmiOAYaKUb30dsrRswW/RjOEMPwSBDVDOlYm9w11sboKFcuNwbygS/qoNQVSB+Aq0CTSniPh14mjhxM3Nk9wl48PyfntgX3PXWRtGHDWWCZ/URIWqrCgRX79wLFcYk0Y8qx6wxXeMZaguqR/NEEPcqCO+Z2ocNZWJ+rVT4VR6ElurW79HHeTgOPA2yx3Xv7rAEJbxafaT7vrMDhCwa3n//fRYuXMjLL7/M9OnTee6555g/fz779+8nM7P1KY5r167ll7/8JY8++ig/+clPeOedd7jwwgvZunUrY8aMAeCJJ57ghRdeYOnSpQwcOJD777+f+fPns2fPHkym4DOkw4nyo99TpdOikeHcUcGFJQJCPW2veK2oQii7hBva3iweW2qFmm2pwddrEADmVBH3zBorVp39Z4Y3Zn8ySBPVE1n/VzEIHTYPR7uyvc3WLLg2VwUWQN4wJgmu2WOFF2HArK4Je4SCdLEbhi1vCMHjtPtytCk8m6vF695u90DQx0HWaDER5U4UHNMGda9x8UeGcr/u/EC03+X04tgkHm3NiiA60doz4g+dSeE4VhyvPmC2ECY9yTFrtHjc+wl88lvB0aUUQrI1CgOqPrbUdBzG0OiERyh3ovjpO1l8R09uPc6ZIB4PfiU4yk4RNrE1tuZoqe04jCFphfDJnaDwnCTuW20POqv7iiJIHF3vy9He7OFmbRC/W+qCWK1LQlD2nST45U4UYV2vQ7O6HXlK0n3Fbvj4ZiHKnErF1qnXBayA2tWQZFkOqdbU9OnTmTp1Ki+99BIALpeLvLw8brvtNu69995W11966aU0NTXx3//+1/3cjBkzmDBhAi+//DKyLJObm8vvfvc7fv/73wNQV1dHVlYWb7zxBpdd1rqcqD/q6+tJTk6mrq6OpKTgt++0h8+X3cg9dWvJtBp469LvyEnupBtKluGfF3pK3XYEUzIk9YXUfPGTMkAYkqzRohBRT0627aHqkKi0GMouEVOKWHWqXNMGioTNzJGCd3euWoJBfSksnu6b1d8RjMkQnyE8BmkDPVz7jBSrwUipaaGiuVpU6PPOeO8IhgQPx9SBnn7sM1yEHnrSsASCrQkWz4C6EMJMhgSx6kvMFvdmxhAhItOHiK2uIWz/7BY47fC32VC5P/j36OPFIiQhW/Rl+hBfnl3tig8VsgyvniXCCMFCZxZ9mJgj5tOMoQpP5VFNII0k/PNnIsfJHxcsFvV1woBQbGhIo9lms7FlyxYWLVrkfk6j0TB37lzWrVsX8D3r1q1j4ULfk7zmz5/PsmXLADhy5AhlZWXMneupkpWcnMz06dNZt25dQNFgtVqxWj3u6/r68Md7PpHECl7LsM4LBhBG/rJ3xP7dphNi5aU3i1Wm3ixEQly6+DGndn2ss6uQPhiu/0Zk+jvt4kwHlaM337h0IRTi0ntWwXcGSTlwwzdiO6DDKtrv5ujF1ZwmOMZnRP75Df6IS4PrvxbVQh1WIdz08WLHgTdXU5IoPhSfEXnGpCMY4uH6lSJ0aGsUngKNTjxvTBSPhgSRTGhKEWIhUop5BQutHq5ZLgqbWeuFONXoRT8aEgUflaMxWYgFNbGwt0CSRBn4nR9AU5UQpxq9uB8NCYKPMUHhmyjydUzJkbvwaguXviU4NpSJftUaBM++U3qkOSGJhsrKSpxOJ1lZvi7xrKws9u0LHDsrKysLeH1ZWZn7dfW5tq7xx6OPPspDDz0UStNDxpl5V3C4tB+nDQ7D9kRDPEy4/OQ/J9KRNUr8RDPSB4viQtGMlP7tnnEQFUjIhJn/r6db0bWIS4MZN/V0K7oWpmThpo9mGOLbPFelJxBhfsPgsGjRIh/vRX19PXl54Y13/2LScH4xaTghRm9iiCGGGGKIIWoRUtA4IyMDrVZLeXm5z/Pl5eVkZwfOZM/Ozm73evUxlM80Go0kJSX5/HQVpN7myoohhhhiiCGGLkJIosFgMDB58mRWrlzpfs7lcrFy5UpmzpwZ8D0zZ870uR5gxYoV7usHDhxIdna2zzX19fVs2LChzc+MIYYYYoghhhi6HyGHJxYuXMhvfvMbpkyZwrRp03juuedoamri6quvBuDKK6+kb9++PProowDcfvvtnH766Tz99NOcd955vPfee2zevJlXXnkFECv5O+64gz/96U8MHTrUveUyNzeXCy+8MHxMY4ghhhhiiCGGk0LIouHSSy/lxIkTPPDAA5SVlTFhwgSWL1/uTmQsLi5G47VVbtasWbzzzjvcd999/OEPf2Do0KEsW7bMXaMB4O6776apqYkbbriB2tpaTjnlFJYvX95jNRpiiCGGGGKIIYbWCLlOQySirq6OlJQUjh492qX5DTHEEEMMMcQQbVA3E9TW1pKcnNzutb1y94Q/GhpEnfdw76CIIYYYYoghhh8LGhoaOhQNUeFpcLlclJSUkJiYGNbdDqr6ihYPRrTxgRin3oIYp96BGKfegXBzkmWZhoYGcnNzfdILAiEqPA0ajYZ+/fp12ed39bbO7ka08YEYp96CGKfegRin3oFwcurIw6Aiwor7xxBDDDHEEEMMkYqYaIghhhhiiCGGGIJCTDS0A6PRyIMPPojR2MsOHWoD0cYHYpx6C2KcegdinHoHepJTVCRCxhBDDDHEEEMMXY+YpyGGGGKIIYYYYggKMdEQQwwxxBBDDDEEhZhoiCGGGGKIIYYYgkJMNMQQQwwxxBBDDEEhJhrawOLFi8nPz8dkMjF9+nQ2btzY000KGo8++ihTp04lMTGRzMxMLrzwQvbv3+9zzZw5c5Akyefnpptu6qEWd4w//vGPrdo7YsQI9+sWi4VbbrmF9PR0EhISuOiiiygvL+/BFneM/Pz8VpwkSeKWW24BIr+P1qxZw09/+lNyc3ORJIlly5b5vC7LMg888AA5OTmYzWbmzp3LwYMHfa6prq7miiuuICkpiZSUFK699loaGxu7kYUv2uNkt9u55557GDt2LPHx8eTm5nLllVdSUlLi8xmB+vWxxx7rZiYedNRPV111Vav2LliwwOea3tRPQMBxJUkSTz75pPuaSOqnYObsYOa44uJizjvvPOLi4sjMzOSuu+7C4XCEta0x0RAA77//PgsXLuTBBx9k69atjB8/nvnz51NRUdHTTQsKq1ev5pZbbmH9+vWsWLECu93OvHnzaGpq8rnu+uuvp7S01P3zxBNP9FCLg8Po0aN92vvdd9+5X7vzzjv59NNP+eCDD1i9ejUlJSX8/Oc/78HWdoxNmzb58FmxYgUAl1xyifuaSO6jpqYmxo8fz+LFiwO+/sQTT/DCCy/w8ssvs2HDBuLj45k/fz4Wi8V9zRVXXMHu3btZsWIF//3vf1mzZg033HBDd1FohfY4NTc3s3XrVu6//362bt3KRx99xP79+zn//PNbXfvwww/79Nttt93WHc0PiI76CWDBggU+7X333Xd9Xu9N/QT4cCktLeW1115DkiQuuugin+sipZ+CmbM7muOcTifnnXceNpuNtWvXsnTpUt544w0eeOCB8DZWjqEVpk2bJt9yyy3uv51Op5ybmys/+uijPdiqzqOiokIG5NWrV7ufO/300+Xbb7+95xoVIh588EF5/PjxAV+rra2V9Xq9/MEHH7if27t3rwzI69at66YWnjxuv/12efDgwbLL5ZJluXf1ESB//PHH7r9dLpecnZ0tP/nkk+7namtrZaPRKL/77ruyLMvynj17ZEDetGmT+5ovvvhCliRJPn78eLe1vS34cwqEjRs3yoBcVFTkfm7AgAHys88+27WN6yQCcfrNb34jX3DBBW2+Jxr66YILLpDPPPNMn+ciuZ/85+xg5rjPP/9c1mg0cllZmfuav/3tb3JSUpJstVrD1raYp8EPNpuNLVu2MHfuXPdzGo2GuXPnsm7duh5sWedRV1cHQFpams/zb7/9NhkZGYwZM4ZFixbR3NzcE80LGgcPHiQ3N5dBgwZxxRVXUFxcDMCWLVuw2+0+fTZixAj69+/fa/rMZrPx1ltvcc011/gcutbb+kjFkSNHKCsr8+mT5ORkpk+f7u6TdevWkZKSwpQpU9zXzJ07F41Gw4YNG7q9zZ1BXV0dkiSRkpLi8/xjjz1Geno6EydO5Mknnwy7izjcWLVqFZmZmQwfPpybb76Zqqoq92u9vZ/Ky8v57LPPuPbaa1u9Fqn95D9nBzPHrVu3jrFjx5KVleW+Zv78+dTX17N79+6wtS0qDqwKJyorK3E6nT7/8QBZWVns27evh1rVebhcLu644w5mz57NmDFj3M9ffvnlDBgwgNzcXHbs2ME999zD/v37+eijj3qwtW1j+vTpvPHGGwwfPpzS0lIeeughTj311P/f3r3GNHm2cQD/I1CgAynYSquGcpAZGcKQRdItISqKNnMuIhkSM8cST9sMHzzEuGV+MFGXJXMeougHT1Ej8cM8hJjpEFjYdCQojSMmbGBLs4RqIqvrUhin6/2w0LxdC30m1Lbv+/8lJOV+7ue5r5urz81Fn4cWHR0dcDgcUKlUPgt3WloaHA5HaAL+l65duwan04nq6mpPW6Tl6L+N/dz9nUdj2xwOB2bOnOm1PSYmBqmpqRGRt4GBAezevRtVVVVeHxpUU1ODhQsXIjU1FXfv3sWePXvQ29uLQ4cOhTDa8a1cuRLl5eXIzMxEd3c3Pv30U5jNZty7dw/R0dERn6fz588jKSnJ53JluObJ35qtZI1zOBx+z7exbVOFRcP/uE8++QQdHR1e1/8BeF2PXLBgAQwGA0pLS9Hd3Y3s7OyXHWZAZrPZ8zg/Px/FxcUwGo24cuUKEhISQhjZ1Dh9+jTMZjNmzZrlaYu0HP0/GRoawnvvvQcRQW1trde27du3ex7n5+dDpVJhy5YtOHjwYFi+lfG6des8jxcsWID8/HxkZ2ejubkZpaWlIYxsapw5cwbr169HfHy8V3u45mm8NTtc8PLEP2i1WkRHR/vclfrkyRPo9foQRfVitm3bhvr6ejQ1NQX86PDi4mIAQFdX18sIbdI0Gg1effVVdHV1Qa/XY3BwEE6n06tPpOSsp6cHDQ0N2Lhx44T9IilHYz/3ic4jvV7vc3Px8PAw+vr6wjpvYwVDT08Pvvvuu4AfTVxcXIzh4WHYbLaXE+AkZWVlQavVep5nkZonAGhpaUFnZ2fAcwsIjzyNt2YrWeP0er3f821s21Rh0fAPKpUKRUVFuHPnjqdtdHQUd+7cgclkCmFkyokItm3bhqtXr6KxsRGZmZkB97FYLAAAg8EQ5Oimxp9//onu7m4YDAYUFRUhNjbWK2ednZ2w2+0RkbOzZ89i5syZePvttyfsF0k5yszMhF6v98rJH3/8gdbWVk9OTCYTnE4n7t+/7+nT2NiI0dFRT4EUbsYKhl9//RUNDQ2YMWNGwH0sFgumTZvm8xJ/uPrtt9/w7Nkzz/MsEvM05vTp0ygqKkJBQUHAvqHMU6A1W8kaZzKZ8PPPP3sVeGNFbW5u7pQGS/9QV1cncXFxcu7cOXn06JFs3rxZNBqN112p4eyjjz6S5ORkaW5ult7eXs+X2+0WEZGuri7Zt2+ftLW1idVqlevXr0tWVpaUlJSEOPLx7dixQ5qbm8VqtcqPP/4oy5YtE61WK0+fPhURka1bt0p6ero0NjZKW1ubmEwmMZlMIY46sJGREUlPT5fdu3d7tUdCjlwul7S3t0t7e7sAkEOHDkl7e7vnPwm++OIL0Wg0cv36dXn48KG8++67kpmZKf39/Z5jrFy5UgoLC6W1tVV++OEHycnJkaqqqlBNacI5DQ4OyurVq2XOnDlisVi8zq2xu9Pv3r0rX3/9tVgsFunu7paLFy+KTqeTDRs2hOWcXC6X7Ny5U+7duydWq1UaGhpk4cKFkpOTIwMDA55jRFKexjx//lzUarXU1tb67B9ueQq0ZosEXuOGh4clLy9PysrKxGKxyLfffis6nU727NkzpbGyaBjHsWPHJD09XVQqlSxatEh++umnUIekGAC/X2fPnhUREbvdLiUlJZKamipxcXEyd+5c2bVrlzx//jy0gU+gsrJSDAaDqFQqmT17tlRWVkpXV5dne39/v3z88ceSkpIiarVa1qxZI729vSGMWJlbt24JAOns7PRqj4QcNTU1+X2effDBByLy979dfv7555KWliZxcXFSWlrqM89nz55JVVWVJCYmyvTp0+XDDz8Ul8sVgtn8baI5Wa3Wcc+tpqYmERG5f/++FBcXS3JyssTHx8v8+fPlwIEDXr+Aw2lObrdbysrKRKfTSWxsrBiNRtm0aZPPH0iRlKcxp06dkoSEBHE6nT77h1ueAq3ZIsrWOJvNJmazWRISEkSr1cqOHTtkaGhoSmPlR2MTERGRIryngYiIiBRh0UBERESKsGggIiIiRVg0EBERkSIsGoiIiEgRFg1ERESkCIsGIiIiUoRFAxERESnCooGIJq2zsxN6vR4ulytoY6xbtw5fffVV0I5PRIHxHSGJyK/Fixfj9ddfx+HDhwP2LS8vR1FRET777LOgxdPR0YGSkhJYrVYkJycHbRwiGh9faSCiSbHb7aivr0d1dXVQx8nLy0N2djYuXrwY1HGIaHwsGojIR3V1Nb7//nscOXIEUVFRiIqKgs1m89v3ypUrKCgowOzZsz1t586dg0ajQX19PebNmwe1Wo2Kigq43W6cP38eGRkZSElJQU1NDUZGRjz7nThxAjk5OYiPj0daWhoqKiq8xnrnnXdQV1cXlDkTUWAxoQ6AiMLPkSNH8MsvvyAvLw/79u0DAOh0Or99W1pa8MYbb/i0u91uHD16FHV1dXC5XCgvL8eaNWug0Whw8+ZNPH78GGvXrsVbb72FyspKtLW1oaamBhcuXMCbb76Jvr4+tLS0eB1z0aJF2L9/P/766y/ExcVN/cSJaEIsGojIR3JyMlQqFdRqNfR6/YR9e3p6/BYNQ0NDqK2tRXZ2NgCgoqICFy5cwJMnT5CYmIjc3FwsWbIETU1NqKyshN1uxyuvvIJVq1YhKSkJRqMRhYWFXsecNWsWBgcH4XA4YDQap27CRKQIL08Q0aT09/cjPj7ep12tVnsKBgBIS0tDRkYGEhMTvdqePn0KAFi+fDmMRiOysrLw/vvv49KlS3C73V7HTEhIAACfdiJ6OVg0ENGkaLVa/P777z7tsbGxXt9HRUX5bRsdHQUAJCUl4cGDB7h8+TIMBgP27t2LgoICOJ1OT/++vj4A418qIaLgYtFARH6pVCqvmxTHU1hYiEePHk3JmDExMVi2bBm+/PJLPHz4EDabDY2NjZ7tHR0dmDNnDrRa7ZSMR0T/Du9pICK/MjIy0NraCpvNhsTERKSmpmLaNN+/M1asWIGNGzdiZGQE0dHRLzxefX09Hj9+jJKSEqSkpODmzZsYHR3FvHnzPH1aWlpQVlb2wmMQ0eTwlQYi8mvnzp2Ijo5Gbm4udDod7Ha7335msxkxMTFoaGiY1HgajQbffPMNli5divnz5+PkyZO4fPkyXnvtNQDAwMAArl27hk2bNk1qHCJ6cXxHSCKatOPHj+PGjRu4detW0Maora3F1atXcfv27aCNQUQT4+UJIpq0LVu2wOl0wuVyISkpKShjxMbG4tixY0E5NhEpw1caiIiISBHe00BERESKsGggIiIiRVg0EBERkSIsGoiIiEgRFg1ERESkCIsGIiIiUoRFAxERESnCooGIiIgUYdFAREREivwHiHeO7fKFYh0AAAAASUVORK5CYII="
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 15
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "## Building a complex thalamus neuron model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "Li, et. al [1] proposed a point model of thalamic cells, all single cell models in the thalamic network contained one single compartment and multiple ionic currents described by the Hodgkin-Huxley formulism. The current balance equation was given by:  \n",
    "\n",
    "$$  \n",
    "C_m \\frac{d V}{d t}=-g_L\\left(V-E_L\\right)-g_{K L}\\left(V-E_{K L}\\right)-\\sum I^{i n t}-10^{-3} \\sum \\frac{I^{s n}}{A}+10^{-3} \\frac{I_{a p p}}{A}  \n",
    "$$  \n",
    "\n",
    "\n",
    "where $Cm = 1μF/cm^2$ is the membrane capacitance for all four types of neurons, $g_L$ is the leakage conductance (nominal value: $gL = 0.01 mS/cm^2$ for all four types of cells) and $g_{KL}$ is the potassium leak conductance modulated by both ACh and NE. $E_L$ is the leakage reversal potential ($E_L$ = −70 mV for both HTC cells), and $E_{KL}$ is the reversal potential for the potassium leak current ($E_{KL}$ = −90 mV for all neurons). $I_{int}$ and $I_{syn}$ are the intrinsic ionic currents (in $μA/cm^2$) and synaptic currents (in $nA$) respectively and $I_{app}$ is the externally applied current injection (in $nA$). The following total membrane area (A) was used to normalize the synaptic and externally applied currents in Eq: HTC cells: 2.9×10−4 $cm^2$.\n",
    "\n",
    "\n",
    "HTC cells contained the following six active ionic currents:  \n",
    "\n",
    "- a spike generating fast sodium current (INa),  ``bp.dyn.INa_Ba2002``  \n",
    "- a delayed rectifier potassium current (IDR), ``bp.dyn.IKDR_Ba2002``  \n",
    "- a hyperpolarization-activated cation current (IH), ``bp.dyn.Ih_HM1992``  \n",
    "- a high-threshold L-type Ca2+ current (ICa/L), ``bp.dyn.ICaL_IS2008``  \n",
    "- a Ca2+- dependent potassium current (IAHP), ``bp.dyn.IAHP_De1994``  \n",
    "- a Ca2+- activated nonselective cation current (ICAN). ``bp.dyn.ICaN_IS2008``  \n",
    "\n",
    "In addition, both TC cells included  \n",
    "- a regular low-threshold T-type Ca2+ current (ICa/T), ``bp.dyn.ICaT_HM1992``  \n",
    "- and a high-threshold T-type Ca2+ current (ICa/HT); ``bp.dyn.ICaHT_HM1992``  \n",
    "\n",
    "To obtain the high-threshold T-type current ICa/HT, both the activation and inactivation of the ICa/T current was shifted by 28 mV, similar to a previous TC modeling study. \n",
    "\n",
    "\n",
    "[1] Li G, Henriquez CS, Fröhlich F (2017) Unified thalamic model generates multiple distinct oscillations with state-dependent entrainment by stimulation. PLoS Comput Biol 13(10): e1005797. https://doi.org/10.1371/journal.pcbi.1005797"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "In BrainPy, this model can be modeled as:"
   ]
  },
  {
   "cell_type": "code",
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2025-10-06T03:45:18.745294Z",
     "start_time": "2025-10-06T03:45:18.740061Z"
    }
   },
   "source": [
    "class HTC(bp.dyn.CondNeuGroupLTC):\n",
    "    def __init__(self, size, gKL=0.01, V_initializer=bp.init.OneInit(-65.)):\n",
    "        super().__init__(size, A=2.9e-4, V_initializer=V_initializer, V_th=20.)\n",
    "        self.IL = bp.dyn.IL(size, g_max=0.01, E=-70.)\n",
    "        self.INa = bp.dyn.INa_Ba2002(size, V_sh=-30)\n",
    "        self.Ih = bp.dyn.Ih_HM1992(size, g_max=0.01, E=-43)\n",
    "\n",
    "        self.Ca = bp.dyn.CalciumDetailed(size, C_rest=5e-5, tau=10., d=0.5)\n",
    "        self.Ca.add_elem(bp.dyn.ICaL_IS2008(size, g_max=0.5))\n",
    "        self.Ca.add_elem(bp.dyn.ICaN_IS2008(size, g_max=0.5))\n",
    "        self.Ca.add_elem(bp.dyn.ICaT_HM1992(size, g_max=2.1))\n",
    "        self.Ca.add_elem(bp.dyn.ICaHT_HM1992(size, g_max=3.0))\n",
    "\n",
    "        self.K = bp.dyn.PotassiumFixed(size, E=-90.)\n",
    "        self.K.add_elem(bp.dyn.IKDR_Ba2002v2(size, V_sh=-30., phi=0.25))\n",
    "        self.K.add_elem(bp.dyn.IK_Leak(size, g_max=gKL))\n",
    "\n",
    "        self.KCa = bp.dyn.MixIons(self.K, self.Ca)\n",
    "        self.KCa.add_elem(bp.dyn.IAHP_De1994v2(size))"
   ],
   "outputs": [],
   "execution_count": 16
  },
  {
   "cell_type": "code",
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2025-10-06T03:45:19.582028Z",
     "start_time": "2025-10-06T03:45:18.756145Z"
    }
   },
   "source": [
    "htc = HTC(1)\n",
    "runner = bp.DSRunner(htc, monitors={'v': htc.V})\n",
    "I = -30 / 1e3 / 2.9e-4 * 1e-3  # input current = -30pA\n",
    "inputs = np.ones(20000) * I\n",
    "runner.run(inputs=inputs)\n",
    "bp.visualize.line_plot(runner.mon.ts, runner.mon['v'], legend='v', show=True)"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "  0%|          | 0/20000 [00:00<?, ?it/s]"
      ],
      "application/vnd.jupyter.widget-view+json": {
       "version_major": 2,
       "version_minor": 0,
       "model_id": "41b3b4b8dc234240b96bf06b8228de3f"
      }
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<module 'matplotlib.pyplot' from 'C:\\\\Users\\\\adadu\\\\miniconda3\\\\envs\\\\bdp\\\\Lib\\\\site-packages\\\\matplotlib\\\\pyplot.py'>"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 17
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
